---
_id: '11903'
abstract:
- lang: eng
text: "Online social networks allow the collection of large amounts of data about
the influence between users connected by a friendship-like relationship. When
distributing items among agents forming a social network, this information allows
us to exploit network externalities that each agent receives from his neighbors
that get the same item. In this paper we consider Friends-of-Friends (2-hop) network
externalities, i.e., externalities that not only depend on the neighbors that
get the same item but also on neighbors of neighbors. For these externalities
we study a setting where multiple different items are assigned to unit-demand
agents. Specifically, we study the problem of welfare maximization under different
types of externality functions. Let n be the number of agents and m be the number
of items. Our contributions are the following: (1) We show that welfare maximization
is APX-hard; we show that even for step functions with 2-hop (and also with 1-hop)
externalities it is NP-hard to approximate social welfare better than (1−1/e).
(2) On the positive side we present (i) an \U0001D442(\U0001D45B√)-approximation
algorithm for general concave externality functions, (ii) an O(log m)-approximation
algorithm for linear externality functions, and (iii) a 518(1−1/\U0001D452)-approximation
algorithm for 2-hop step function externalities. We also improve the result from
[7] for 1-hop step function externalities by giving a 12(1−1/\U0001D452)-approximation
algorithm."
article_processing_charge: No
article_type: original
author:
- first_name: Sayan
full_name: Bhattacharya, Sayan
last_name: Bhattacharya
- first_name: Wolfgang
full_name: Dvořák, Wolfgang
last_name: Dvořák
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Martin
full_name: Starnberger, Martin
last_name: Starnberger
citation:
ama: Bhattacharya S, Dvořák W, Henzinger M, Starnberger M. Welfare maximization
with friends-of-friends network externalities. Theory of Computing Systems.
2017;61(4):948-986. doi:10.1007/s00224-017-9759-8
apa: Bhattacharya, S., Dvořák, W., Henzinger, M., & Starnberger, M. (2017).
Welfare maximization with friends-of-friends network externalities. Theory
of Computing Systems. Springer Nature. https://doi.org/10.1007/s00224-017-9759-8
chicago: Bhattacharya, Sayan, Wolfgang Dvořák, Monika Henzinger, and Martin Starnberger.
“Welfare Maximization with Friends-of-Friends Network Externalities.” Theory
of Computing Systems. Springer Nature, 2017. https://doi.org/10.1007/s00224-017-9759-8.
ieee: S. Bhattacharya, W. Dvořák, M. Henzinger, and M. Starnberger, “Welfare maximization
with friends-of-friends network externalities,” Theory of Computing Systems,
vol. 61, no. 4. Springer Nature, pp. 948–986, 2017.
ista: Bhattacharya S, Dvořák W, Henzinger M, Starnberger M. 2017. Welfare maximization
with friends-of-friends network externalities. Theory of Computing Systems. 61(4),
948–986.
mla: Bhattacharya, Sayan, et al. “Welfare Maximization with Friends-of-Friends Network
Externalities.” Theory of Computing Systems, vol. 61, no. 4, Springer Nature,
2017, pp. 948–86, doi:10.1007/s00224-017-9759-8.
short: S. Bhattacharya, W. Dvořák, M. Henzinger, M. Starnberger, Theory of Computing
Systems 61 (2017) 948–986.
date_created: 2022-08-17T11:14:12Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2024-11-06T12:24:23Z
day: '01'
doi: 10.1007/s00224-017-9759-8
extern: '1'
intvolume: ' 61'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s00224-017-9759-8
month: '11'
oa: 1
oa_version: Published Version
page: 948-986
publication: Theory of Computing Systems
publication_identifier:
eissn:
- 1433-0490
issn:
- 1432-4350
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '11837'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Welfare maximization with friends-of-friends network externalities
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 61
year: '2017'
...
---
_id: '1191'
abstract:
- lang: eng
text: Variation in genotypes may be responsible for differences in dispersal rates,
directional biases, and growth rates of individuals. These traits may favor certain
genotypes and enhance their spatiotemporal spreading into areas occupied by the
less advantageous genotypes. We study how these factors influence the speed of
spreading in the case of two competing genotypes under the assumption that spatial
variation of the total population is small compared to the spatial variation of
the frequencies of the genotypes in the population. In that case, the dynamics
of the frequency of one of the genotypes is approximately described by a generalized
Fisher–Kolmogorov–Petrovskii–Piskunov (F–KPP) equation. This generalized F–KPP
equation with (nonlinear) frequency-dependent diffusion and advection terms admits
traveling wave solutions that characterize the invasion of the dominant genotype.
Our existence results generalize the classical theory for traveling waves for
the F–KPP with constant coefficients. Moreover, in the particular case of the
quadratic (monostable) nonlinear growth–decay rate in the generalized F–KPP we
study in detail the influence of the variance in diffusion and mean displacement
rates of the two genotypes on the minimal wave propagation speed.
acknowledgement: "We thank Nick Barton, Katarína Bod’ová, and Sr\r\n-\r\ndan Sarikas
for constructive feed-\r\nback and support. Furthermore, we would like to express
our deep gratitude to the anonymous referees (one\r\nof whom, Jimmy Garnier, agreed
to reveal his identity) and the editor Max Souza, for very helpful and\r\ndetailed
comments and suggestions that significantly helped us to improve the manuscript.
This project has\r\nreceived funding from the European Union’s Seventh Framework
Programme for research, technological\r\ndevelopment and demonstration under Grant
Agreement 618091 Speed of Adaptation in Population Genet-\r\nics and Evolutionary
Computation (SAGE) and the European Research Council (ERC) Grant No. 250152\r\n(SN),
from the Scientific Grant Agency of the Slovak Republic under the Grant 1/0459/13
and by the Slovak\r\nResearch and Development Agency under the Contract No. APVV-14-0378
(RK). RK would also like to\r\nthank IST Austria for its hospitality during the
work on this project."
article_processing_charge: No
arxiv: 1
author:
- first_name: Richard
full_name: Kollár, Richard
last_name: Kollár
- first_name: Sebastian
full_name: Novak, Sebastian
id: 461468AE-F248-11E8-B48F-1D18A9856A87
last_name: Novak
orcid: 0000-0002-2519-824X
citation:
ama: Kollár R, Novak S. Existence of traveling waves for the generalized F–KPP equation.
Bulletin of Mathematical Biology. 2017;79(3):525-559. doi:10.1007/s11538-016-0244-3
apa: Kollár, R., & Novak, S. (2017). Existence of traveling waves for the generalized
F–KPP equation. Bulletin of Mathematical Biology. Springer. https://doi.org/10.1007/s11538-016-0244-3
chicago: Kollár, Richard, and Sebastian Novak. “Existence of Traveling Waves for
the Generalized F–KPP Equation.” Bulletin of Mathematical Biology. Springer,
2017. https://doi.org/10.1007/s11538-016-0244-3.
ieee: R. Kollár and S. Novak, “Existence of traveling waves for the generalized
F–KPP equation,” Bulletin of Mathematical Biology, vol. 79, no. 3. Springer,
pp. 525–559, 2017.
ista: Kollár R, Novak S. 2017. Existence of traveling waves for the generalized
F–KPP equation. Bulletin of Mathematical Biology. 79(3), 525–559.
mla: Kollár, Richard, and Sebastian Novak. “Existence of Traveling Waves for the
Generalized F–KPP Equation.” Bulletin of Mathematical Biology, vol. 79,
no. 3, Springer, 2017, pp. 525–59, doi:10.1007/s11538-016-0244-3.
short: R. Kollár, S. Novak, Bulletin of Mathematical Biology 79 (2017) 525–559.
date_created: 2018-12-11T11:50:38Z
date_published: 2017-03-01T00:00:00Z
date_updated: 2025-09-22T09:44:54Z
day: '01'
department:
- _id: NiBa
doi: 10.1007/s11538-016-0244-3
ec_funded: 1
external_id:
arxiv:
- '1607.00944'
isi:
- '000395156200005'
intvolume: ' 79'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1607.00944
month: '03'
oa: 1
oa_version: Preprint
page: 525-559
project:
- _id: 25B1EC9E-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '618091'
name: Speed of Adaptation in Population Genetics and Evolutionary Computation
- _id: 25B07788-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '250152'
name: Limits to selection in biology and in evolutionary computation
publication: Bulletin of Mathematical Biology
publication_status: published
publisher: Springer
publist_id: '6160'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Existence of traveling waves for the generalized F–KPP equation
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 79
year: '2017'
...
---
_id: '1192'
abstract:
- lang: eng
text: The main result of this paper is a generalization of the classical blossom
algorithm for finding perfect matchings. Our algorithm can efficiently solve Boolean
CSPs where each variable appears in exactly two constraints (we call it edge CSP)
and all constraints are even Δ-matroid relations (represented by lists of tuples).
As a consequence of this, we settle the complexity classification of planar Boolean
CSPs started by Dvorak and Kupec. Knowing that edge CSP is tractable for even
Δ-matroid constraints allows us to extend the tractability result to a larger
class of Δ-matroids that includes many classes that were known to be tractable
before, namely co-independent, compact, local and binary.
article_processing_charge: No
arxiv: 1
author:
- first_name: Alexandr
full_name: Kazda, Alexandr
id: 3B32BAA8-F248-11E8-B48F-1D18A9856A87
last_name: Kazda
- first_name: Vladimir
full_name: Kolmogorov, Vladimir
id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
last_name: Kolmogorov
- first_name: Michal
full_name: Rolinek, Michal
id: 3CB3BC06-F248-11E8-B48F-1D18A9856A87
last_name: Rolinek
citation:
ama: 'Kazda A, Kolmogorov V, Rolinek M. Even delta-matroids and the complexity of
planar Boolean CSPs. In: SIAM; 2017:307-326. doi:10.1137/1.9781611974782.20'
apa: 'Kazda, A., Kolmogorov, V., & Rolinek, M. (2017). Even delta-matroids and
the complexity of planar Boolean CSPs (pp. 307–326). Presented at the SODA: Symposium
on Discrete Algorithms, Barcelona, Spain: SIAM. https://doi.org/10.1137/1.9781611974782.20'
chicago: Kazda, Alexandr, Vladimir Kolmogorov, and Michal Rolinek. “Even Delta-Matroids
and the Complexity of Planar Boolean CSPs,” 307–26. SIAM, 2017. https://doi.org/10.1137/1.9781611974782.20.
ieee: 'A. Kazda, V. Kolmogorov, and M. Rolinek, “Even delta-matroids and the complexity
of planar Boolean CSPs,” presented at the SODA: Symposium on Discrete Algorithms,
Barcelona, Spain, 2017, pp. 307–326.'
ista: 'Kazda A, Kolmogorov V, Rolinek M. 2017. Even delta-matroids and the complexity
of planar Boolean CSPs. SODA: Symposium on Discrete Algorithms, 307–326.'
mla: Kazda, Alexandr, et al. Even Delta-Matroids and the Complexity of Planar
Boolean CSPs. SIAM, 2017, pp. 307–26, doi:10.1137/1.9781611974782.20.
short: A. Kazda, V. Kolmogorov, M. Rolinek, in:, SIAM, 2017, pp. 307–326.
conference:
end_date: 2017-01019
location: Barcelona, Spain
name: 'SODA: Symposium on Discrete Algorithms'
start_date: 2017-01-16
date_created: 2018-12-11T11:50:38Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2025-06-04T08:46:59Z
day: '01'
department:
- _id: VlKo
doi: 10.1137/1.9781611974782.20
ec_funded: 1
external_id:
arxiv:
- '1602.03124'
isi:
- '000426965800020'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1602.03124
month: '01'
oa: 1
oa_version: Submitted Version
page: 307 - 326
project:
- _id: 25FBA906-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '616160'
name: 'Discrete Optimization in Computer Vision: Theory and Practice'
publication_identifier:
isbn:
- 978-161197478-2
publication_status: published
publisher: SIAM
publist_id: '6159'
quality_controlled: '1'
related_material:
record:
- id: '6032'
relation: later_version
status: public
status: public
title: Even delta-matroids and the complexity of planar Boolean CSPs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
---
_id: '1194'
abstract:
- lang: eng
text: 'Termination is one of the basic liveness properties, and we study the termination
problem for probabilistic programs with real-valued variables. Previous works
focused on the qualitative problem that asks whether an input program terminates
with probability~1 (almost-sure termination). A powerful approach for this qualitative
problem is the notion of ranking supermartingales with respect to a given set
of invariants. The quantitative problem (probabilistic termination) asks for bounds
on the termination probability. A fundamental and conceptual drawback of the existing
approaches to address probabilistic termination is that even though the supermartingales
consider the probabilistic behavior of the programs, the invariants are obtained
completely ignoring the probabilistic aspect. In this work we address the probabilistic
termination problem for linear-arithmetic probabilistic programs with nondeterminism.
We define the notion of {\em stochastic invariants}, which are constraints along
with a probability bound that the constraints hold. We introduce a concept of
{\em repulsing supermartingales}. First, we show that repulsing supermartingales
can be used to obtain bounds on the probability of the stochastic invariants.
Second, we show the effectiveness of repulsing supermartingales in the following
three ways: (1)~With a combination of ranking and repulsing supermartingales we
can compute lower bounds on the probability of termination; (2)~repulsing supermartingales
provide witnesses for refutation of almost-sure termination; and (3)~with a combination
of ranking and repulsing supermartingales we can establish persistence properties
of probabilistic programs. We also present results on related computational problems
and an experimental evaluation of our approach on academic examples. '
alternative_title:
- ACM SIGPLAN Notices
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Petr
full_name: Novotny, Petr
id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
last_name: Novotny
- first_name: Djordje
full_name: Zikelic, Djordje
last_name: Zikelic
citation:
ama: 'Chatterjee K, Novotný P, Zikelic D. Stochastic invariants for probabilistic
termination. In: Vol 52. ACM; 2017:145-160. doi:10.1145/3009837.3009873'
apa: 'Chatterjee, K., Novotný, P., & Zikelic, D. (2017). Stochastic invariants
for probabilistic termination (Vol. 52, pp. 145–160). Presented at the POPL: Principles
of Programming Languages, Paris, France: ACM. https://doi.org/10.1145/3009837.3009873'
chicago: Chatterjee, Krishnendu, Petr Novotný, and Djordje Zikelic. “Stochastic
Invariants for Probabilistic Termination,” 52:145–60. ACM, 2017. https://doi.org/10.1145/3009837.3009873.
ieee: 'K. Chatterjee, P. Novotný, and D. Zikelic, “Stochastic invariants for probabilistic
termination,” presented at the POPL: Principles of Programming Languages, Paris,
France, 2017, vol. 52, no. 1, pp. 145–160.'
ista: 'Chatterjee K, Novotný P, Zikelic D. 2017. Stochastic invariants for probabilistic
termination. POPL: Principles of Programming Languages, ACM SIGPLAN Notices, vol.
52, 145–160.'
mla: Chatterjee, Krishnendu, et al. Stochastic Invariants for Probabilistic Termination.
Vol. 52, no. 1, ACM, 2017, pp. 145–60, doi:10.1145/3009837.3009873.
short: K. Chatterjee, P. Novotný, D. Zikelic, in:, ACM, 2017, pp. 145–160.
conference:
end_date: 2017-01-21
location: Paris, France
name: 'POPL: Principles of Programming Languages'
start_date: 2017-01-15
date_created: 2018-12-11T11:50:39Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2026-04-07T13:27:56Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3009837.3009873
ec_funded: 1
external_id:
arxiv:
- '1611.01063'
isi:
- '000408311200013'
intvolume: ' 52'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1611.01063
month: '01'
oa: 1
oa_version: Submitted Version
page: 145 - 160
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication_identifier:
issn:
- 0730-8566
publication_status: published
publisher: ACM
publist_id: '6157'
quality_controlled: '1'
related_material:
record:
- id: '14539'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Stochastic invariants for probabilistic termination
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 52
year: '2017'
...
---
_id: '1196'
abstract:
- lang: eng
text: 'We define the . model-measuring problem: given a model . M and specification
. ϕ, what is the maximal distance . ρ such that all models . M'' within distance
. ρ from . M satisfy (or violate) . ϕ. The model-measuring problem presupposes
a distance function on models. We concentrate on . automatic distance functions,
which are defined by weighted automata. The model-measuring problem subsumes several
generalizations of the classical model-checking problem, in particular, quantitative
model-checking problems that measure the degree of satisfaction of a specification;
robustness problems that measure how much a model can be perturbed without violating
the specification; and parameter synthesis for hybrid systems. We show that for
automatic distance functions, and (a) . ω-regular linear-time, (b) . ω-regular
branching-time, and (c) hybrid specifications, the model-measuring problem can
be solved.We use automata-theoretic model-checking methods for model measuring,
replacing the emptiness question for word, tree, and hybrid automata by the .
optimal-value question for the weighted versions of these automata. For automata
over words and trees, we consider weighted automata that accumulate weights by
maximizing, summing, discounting, and limit averaging. For hybrid automata, we
consider monotonic (parametric) hybrid automata, a hybrid counterpart of (discrete)
weighted automata.We give several examples of using the model-measuring problem
to compute various notions of robustness and quantitative satisfaction for temporal
specifications. Further, we propose the modeling framework for model measuring
to ease the specification and reduce the likelihood of errors in modeling.Finally,
we present a variant of the model-measuring problem, called the . model-repair
problem. The model-repair problem applies to models that do not satisfy the specification;
it can be used to derive restrictions, under which the model satisfies the specification,
i.e., to repair the model.'
acknowledgement: "This research was supported in part by the European Research Council
(ERC) under grant 267989 (QUAREM), by the Austrian Science Fund1 (FWF) under grants
S11402-N23 (RiSE) and Z211-N23 (Wittgenstein Award), and by the National Science
Centre (NCN), Poland under grant 2014/15/D/ST6/04543.\r\nA Technical Report of this
article is available via: https://repository.ist.ac.at/171/"
article_processing_charge: No
author:
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Jan
full_name: Otop, Jan
id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
last_name: Otop
citation:
ama: 'Henzinger TA, Otop J. Model measuring for discrete and hybrid systems. Nonlinear
Analysis: Hybrid Systems. 2017;23:166-190. doi:10.1016/j.nahs.2016.09.001'
apa: 'Henzinger, T. A., & Otop, J. (2017). Model measuring for discrete and
hybrid systems. Nonlinear Analysis: Hybrid Systems. Elsevier. https://doi.org/10.1016/j.nahs.2016.09.001'
chicago: 'Henzinger, Thomas A, and Jan Otop. “Model Measuring for Discrete and Hybrid
Systems.” Nonlinear Analysis: Hybrid Systems. Elsevier, 2017. https://doi.org/10.1016/j.nahs.2016.09.001.'
ieee: 'T. A. Henzinger and J. Otop, “Model measuring for discrete and hybrid systems,”
Nonlinear Analysis: Hybrid Systems, vol. 23. Elsevier, pp. 166–190, 2017.'
ista: 'Henzinger TA, Otop J. 2017. Model measuring for discrete and hybrid systems.
Nonlinear Analysis: Hybrid Systems. 23, 166–190.'
mla: 'Henzinger, Thomas A., and Jan Otop. “Model Measuring for Discrete and Hybrid
Systems.” Nonlinear Analysis: Hybrid Systems, vol. 23, Elsevier, 2017,
pp. 166–90, doi:10.1016/j.nahs.2016.09.001.'
short: 'T.A. Henzinger, J. Otop, Nonlinear Analysis: Hybrid Systems 23 (2017) 166–190.'
date_created: 2018-12-11T11:50:39Z
date_published: 2017-02-01T00:00:00Z
date_updated: 2025-04-15T06:25:59Z
day: '01'
department:
- _id: ToHe
doi: 10.1016/j.nahs.2016.09.001
ec_funded: 1
external_id:
isi:
- '000390637000011'
intvolume: ' 23'
isi: 1
language:
- iso: eng
month: '02'
oa_version: None
page: 166 - 190
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: Formal methods for the design and analysis of complex systems
publication: 'Nonlinear Analysis: Hybrid Systems'
publication_status: published
publisher: Elsevier
publist_id: '6154'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Model measuring for discrete and hybrid systems
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 23
year: '2017'
...
---
_id: '11961'
abstract:
- lang: eng
text: Flow chemistry involves the use of channels or tubing to conduct a reaction
in a continuous stream rather than in a flask. Flow equipment provides chemists
with unique control over reaction parameters enhancing reactivity or in some cases
enabling new reactions. This relatively young technology has received a remarkable
amount of attention in the past decade with many reports on what can be done in
flow. Until recently, however, the question, “Should we do this in flow?” has
merely been an afterthought. This review introduces readers to the basic principles
and fundamentals of flow chemistry and critically discusses recent flow chemistry
accounts.
article_processing_charge: No
article_type: original
author:
- first_name: Matthew B.
full_name: Plutschack, Matthew B.
last_name: Plutschack
- first_name: Bartholomäus
full_name: Pieber, Bartholomäus
id: 93e5e5b2-0da6-11ed-8a41-af589a024726
last_name: Pieber
orcid: 0000-0001-8689-388X
- first_name: Kerry
full_name: Gilmore, Kerry
last_name: Gilmore
- first_name: Peter H.
full_name: Seeberger, Peter H.
last_name: Seeberger
citation:
ama: Plutschack MB, Pieber B, Gilmore K, Seeberger PH. The Hitchhiker’s Guide to
flow chemistry. Chemical Reviews. 2017;117(18):11796-11893. doi:10.1021/acs.chemrev.7b00183
apa: Plutschack, M. B., Pieber, B., Gilmore, K., & Seeberger, P. H. (2017).
The Hitchhiker’s Guide to flow chemistry. Chemical Reviews. American Chemical
Society. https://doi.org/10.1021/acs.chemrev.7b00183
chicago: Plutschack, Matthew B., Bartholomäus Pieber, Kerry Gilmore, and Peter H.
Seeberger. “The Hitchhiker’s Guide to Flow Chemistry.” Chemical Reviews.
American Chemical Society, 2017. https://doi.org/10.1021/acs.chemrev.7b00183.
ieee: M. B. Plutschack, B. Pieber, K. Gilmore, and P. H. Seeberger, “The Hitchhiker’s
Guide to flow chemistry,” Chemical Reviews, vol. 117, no. 18. American
Chemical Society, pp. 11796–11893, 2017.
ista: Plutschack MB, Pieber B, Gilmore K, Seeberger PH. 2017. The Hitchhiker’s Guide
to flow chemistry. Chemical Reviews. 117(18), 11796–11893.
mla: Plutschack, Matthew B., et al. “The Hitchhiker’s Guide to Flow Chemistry.”
Chemical Reviews, vol. 117, no. 18, American Chemical Society, 2017, pp.
11796–893, doi:10.1021/acs.chemrev.7b00183.
short: M.B. Plutschack, B. Pieber, K. Gilmore, P.H. Seeberger, Chemical Reviews
117 (2017) 11796–11893.
date_created: 2022-08-24T11:07:46Z
date_published: 2017-06-01T00:00:00Z
date_updated: 2023-02-21T10:09:28Z
day: '01'
doi: 10.1021/acs.chemrev.7b00183
extern: '1'
external_id:
pmid:
- '28570059'
intvolume: ' 117'
issue: '18'
language:
- iso: eng
month: '06'
oa_version: None
page: 11796-11893
pmid: 1
publication: Chemical Reviews
publication_identifier:
eissn:
- 1520-6890
issn:
- 0009-2665
publication_status: published
publisher: American Chemical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: The Hitchhiker’s Guide to flow chemistry
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 117
year: '2017'
...
---
_id: '11976'
abstract:
- lang: eng
text: The way organic multistep synthesis is performed is changing due to the adoption
of flow chemical techniques, which has enabled the development of improved methods
to make complex molecules. The modular nature of the technique provides not only
access to target molecules via linear flow approaches but also for the targeting
of structural cores with single systems. This perspective article summarizes the
state of the art of continuous multistep synthesis and discusses the main challenges
and opportunities in this area.
article_processing_charge: No
article_type: original
author:
- first_name: Bartholomäus
full_name: Pieber, Bartholomäus
id: 93e5e5b2-0da6-11ed-8a41-af589a024726
last_name: Pieber
orcid: 0000-0001-8689-388X
- first_name: Kerry
full_name: Gilmore, Kerry
last_name: Gilmore
- first_name: Peter H.
full_name: Seeberger, Peter H.
last_name: Seeberger
citation:
ama: Pieber B, Gilmore K, Seeberger PH. Integrated flow processing - challenges
in continuous multistep synthesis. Journal of Flow Chemistry. 2017;7(3-4):129-136.
doi:10.1556/1846.2017.00016
apa: Pieber, B., Gilmore, K., & Seeberger, P. H. (2017). Integrated flow processing
- challenges in continuous multistep synthesis. Journal of Flow Chemistry.
AKJournals. https://doi.org/10.1556/1846.2017.00016
chicago: Pieber, Bartholomäus, Kerry Gilmore, and Peter H. Seeberger. “Integrated
Flow Processing - Challenges in Continuous Multistep Synthesis.” Journal of
Flow Chemistry. AKJournals, 2017. https://doi.org/10.1556/1846.2017.00016.
ieee: B. Pieber, K. Gilmore, and P. H. Seeberger, “Integrated flow processing -
challenges in continuous multistep synthesis,” Journal of Flow Chemistry,
vol. 7, no. 3–4. AKJournals, pp. 129–136, 2017.
ista: Pieber B, Gilmore K, Seeberger PH. 2017. Integrated flow processing - challenges
in continuous multistep synthesis. Journal of Flow Chemistry. 7(3–4), 129–136.
mla: Pieber, Bartholomäus, et al. “Integrated Flow Processing - Challenges in Continuous
Multistep Synthesis.” Journal of Flow Chemistry, vol. 7, no. 3–4, AKJournals,
2017, pp. 129–36, doi:10.1556/1846.2017.00016.
short: B. Pieber, K. Gilmore, P.H. Seeberger, Journal of Flow Chemistry 7 (2017)
129–136.
date_created: 2022-08-25T10:47:51Z
date_published: 2017-09-01T00:00:00Z
date_updated: 2023-02-21T10:10:02Z
day: '01'
doi: 10.1556/1846.2017.00016
extern: '1'
intvolume: ' 7'
issue: 3-4
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1556/1846.2017.00016
month: '09'
oa: 1
oa_version: Published Version
page: 129-136
publication: Journal of Flow Chemistry
publication_identifier:
eissn:
- 2063-0212
issn:
- 2062-249X
publication_status: published
publisher: AKJournals
quality_controlled: '1'
scopus_import: '1'
status: public
title: Integrated flow processing - challenges in continuous multistep synthesis
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2017'
...
---
_id: '1198'
abstract:
- lang: eng
text: We consider a model of fermions interacting via point interactions, defined
via a certain weighted Dirichlet form. While for two particles the interaction
corresponds to infinite scattering length, the presence of further particles effectively
decreases the interaction strength. We show that the model becomes trivial in
the thermodynamic limit, in the sense that the free energy density at any given
particle density and temperature agrees with the corresponding expression for
non-interacting particles.
acknowledgement: 'Open access funding provided by Institute of Science and Technology
(IST Austria). '
article_processing_charge: Yes (via OA deal)
author:
- first_name: Thomas
full_name: Moser, Thomas
id: 2B5FC9A4-F248-11E8-B48F-1D18A9856A87
last_name: Moser
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Moser T, Seiringer R. Triviality of a model of particles with point interactions
in the thermodynamic limit. Letters in Mathematical Physics. 2017;107(3):533-552.
doi:10.1007/s11005-016-0915-x
apa: Moser, T., & Seiringer, R. (2017). Triviality of a model of particles with
point interactions in the thermodynamic limit. Letters in Mathematical Physics.
Springer. https://doi.org/10.1007/s11005-016-0915-x
chicago: Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles
with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical
Physics. Springer, 2017. https://doi.org/10.1007/s11005-016-0915-x.
ieee: T. Moser and R. Seiringer, “Triviality of a model of particles with point
interactions in the thermodynamic limit,” Letters in Mathematical Physics,
vol. 107, no. 3. Springer, pp. 533–552, 2017.
ista: Moser T, Seiringer R. 2017. Triviality of a model of particles with point
interactions in the thermodynamic limit. Letters in Mathematical Physics. 107(3),
533–552.
mla: Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with
Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics,
vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:10.1007/s11005-016-0915-x.
short: T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
date_created: 2018-12-11T11:50:40Z
date_published: 2017-03-01T00:00:00Z
date_updated: 2026-04-16T10:06:46Z
day: '01'
ddc:
- '510'
- '539'
department:
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doi: 10.1007/s11005-016-0915-x
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file_size: 587207
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intvolume: ' 107'
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language:
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month: '03'
oa: 1
oa_version: Published Version
page: ' 533 - 552'
project:
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call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Letters in Mathematical Physics
publication_identifier:
issn:
- 0377-9017
publication_status: published
publisher: Springer
publist_id: '6152'
pubrep_id: '723'
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related_material:
record:
- id: '52'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Triviality of a model of particles with point interactions in the thermodynamic
limit
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 107
year: '2017'
...
---
_id: '1199'
abstract:
- lang: eng
text: Much of quantitative genetics is based on the ‘infinitesimal model’, under
which selection has a negligible effect on the genetic variance. This is typically
justified by assuming a very large number of loci with additive effects. However,
it applies even when genes interact, provided that the number of loci is large
enough that selection on each of them is weak relative to random drift. In the
long term, directional selection will change allele frequencies, but even then,
the effects of epistasis on the ultimate change in trait mean due to selection
may be modest. Stabilising selection can maintain many traits close to their optima,
even when the underlying alleles are weakly selected. However, the number of traits
that can be optimised is apparently limited to ~4Ne by the ‘drift load’, and this
is hard to reconcile with the apparent complexity of many organisms. Just as for
the mutation load, this limit can be evaded by a particular form of negative epistasis.
A more robust limit is set by the variance in reproductive success. This suggests
that selection accumulates information most efficiently in the infinitesimal regime,
when selection on individual alleles is weak, and comparable with random drift.
A review of evidence on selection strength suggests that although most variance
in fitness may be because of alleles with large Nes, substantial amounts of adaptation
may be because of alleles in the infinitesimal regime, in which epistasis has
modest effects.
article_processing_charge: No
author:
- first_name: Nicholas H
full_name: Barton, Nicholas H
id: 4880FE40-F248-11E8-B48F-1D18A9856A87
last_name: Barton
orcid: 0000-0002-8548-5240
citation:
ama: Barton NH. How does epistasis influence the response to selection? Heredity.
2017;118:96-109. doi:10.1038/hdy.2016.109
apa: Barton, N. H. (2017). How does epistasis influence the response to selection?
Heredity. Nature Publishing Group. https://doi.org/10.1038/hdy.2016.109
chicago: Barton, Nicholas H. “How Does Epistasis Influence the Response to Selection?”
Heredity. Nature Publishing Group, 2017. https://doi.org/10.1038/hdy.2016.109.
ieee: N. H. Barton, “How does epistasis influence the response to selection?,” Heredity,
vol. 118. Nature Publishing Group, pp. 96–109, 2017.
ista: Barton NH. 2017. How does epistasis influence the response to selection? Heredity.
118, 96–109.
mla: Barton, Nicholas H. “How Does Epistasis Influence the Response to Selection?”
Heredity, vol. 118, Nature Publishing Group, 2017, pp. 96–109, doi:10.1038/hdy.2016.109.
short: N.H. Barton, Heredity 118 (2017) 96–109.
date_created: 2018-12-11T11:50:40Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2025-04-15T07:11:02Z
day: '01'
department:
- _id: NiBa
doi: 10.1038/hdy.2016.109
ec_funded: 1
external_id:
isi:
- '000392229100011'
intvolume: ' 118'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5176114/
month: '01'
oa: 1
oa_version: Submitted Version
page: 96 - 109
project:
- _id: 25B07788-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '250152'
name: Limits to selection in biology and in evolutionary computation
publication: Heredity
publication_status: published
publisher: Nature Publishing Group
publist_id: '6151'
quality_controlled: '1'
related_material:
record:
- id: '9710'
relation: research_data
status: public
scopus_import: '1'
status: public
title: How does epistasis influence the response to selection?
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 118
year: '2017'
...
---
_id: '1207'
abstract:
- lang: eng
text: The eigenvalue distribution of the sum of two large Hermitian matrices, when
one of them is conjugated by a Haar distributed unitary matrix, is asymptotically
given by the free convolution of their spectral distributions. We prove that this
convergence also holds locally in the bulk of the spectrum, down to the optimal
scales larger than the eigenvalue spacing. The corresponding eigenvectors are
fully delocalized. Similar results hold for the sum of two real symmetric matrices,
when one is conjugated by Haar orthogonal matrix.
article_processing_charge: Yes (via OA deal)
author:
- first_name: Zhigang
full_name: Bao, Zhigang
id: 442E6A6C-F248-11E8-B48F-1D18A9856A87
last_name: Bao
orcid: 0000-0003-3036-1475
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Kevin
full_name: Schnelli, Kevin
id: 434AD0AE-F248-11E8-B48F-1D18A9856A87
last_name: Schnelli
orcid: 0000-0003-0954-3231
citation:
ama: Bao Z, Erdös L, Schnelli K. Local law of addition of random matrices on optimal
scale. Communications in Mathematical Physics. 2017;349(3):947-990. doi:10.1007/s00220-016-2805-6
apa: Bao, Z., Erdös, L., & Schnelli, K. (2017). Local law of addition of random
matrices on optimal scale. Communications in Mathematical Physics. Springer.
https://doi.org/10.1007/s00220-016-2805-6
chicago: Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Law of Addition
of Random Matrices on Optimal Scale.” Communications in Mathematical Physics.
Springer, 2017. https://doi.org/10.1007/s00220-016-2805-6.
ieee: Z. Bao, L. Erdös, and K. Schnelli, “Local law of addition of random matrices
on optimal scale,” Communications in Mathematical Physics, vol. 349, no.
3. Springer, pp. 947–990, 2017.
ista: Bao Z, Erdös L, Schnelli K. 2017. Local law of addition of random matrices
on optimal scale. Communications in Mathematical Physics. 349(3), 947–990.
mla: Bao, Zhigang, et al. “Local Law of Addition of Random Matrices on Optimal Scale.”
Communications in Mathematical Physics, vol. 349, no. 3, Springer, 2017,
pp. 947–90, doi:10.1007/s00220-016-2805-6.
short: Z. Bao, L. Erdös, K. Schnelli, Communications in Mathematical Physics 349
(2017) 947–990.
date_created: 2018-12-11T11:50:43Z
date_published: 2017-02-01T00:00:00Z
date_updated: 2025-07-10T11:50:22Z
day: '01'
ddc:
- '530'
department:
- _id: LaEr
doi: 10.1007/s00220-016-2805-6
ec_funded: 1
external_id:
isi:
- '000393696700005'
file:
- access_level: open_access
checksum: ddff79154c3daf27237de5383b1264a9
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:14:47Z
date_updated: 2020-07-14T12:44:39Z
file_id: '5102'
file_name: IST-2016-722-v1+1_s00220-016-2805-6.pdf
file_size: 1033743
relation: main_file
file_date_updated: 2020-07-14T12:44:39Z
has_accepted_license: '1'
intvolume: ' 349'
isi: 1
issue: '3'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 947 - 990
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '338804'
name: Random matrices, universality and disordered quantum systems
publication: Communications in Mathematical Physics
publication_identifier:
issn:
- 0010-3616
publication_status: published
publisher: Springer
publist_id: '6141'
pubrep_id: '722'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Local law of addition of random matrices on optimal scale
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 349
year: '2017'
...
---
_id: '1208'
abstract:
- lang: eng
text: We study parameter estimation in linear Gaussian covariance models, which
are p-dimensional Gaussian models with linear constraints on the covariance matrix.
Maximum likelihood estimation for this class of models leads to a non-convex optimization
problem which typically has many local maxima. Using recent results on the asymptotic
distribution of extreme eigenvalues of the Wishart distribution, we provide sufficient
conditions for any hill climbing method to converge to the global maximum. Although
we are primarily interested in the case in which n≫p, the proofs of our results
utilize large sample asymptotic theory under the scheme n/p→γ>1. Remarkably,
our numerical simulations indicate that our results remain valid for p as small
as 2. An important consequence of this analysis is that, for sample sizes n≃14p,
maximum likelihood estimation for linear Gaussian covariance models behaves as
if it were a convex optimization problem. © 2016 The Royal Statistical Society
and Blackwell Publishing Ltd.
article_processing_charge: No
arxiv: 1
author:
- first_name: Piotr
full_name: Zwiernik, Piotr
last_name: Zwiernik
- first_name: Caroline
full_name: Uhler, Caroline
id: 49ADD78E-F248-11E8-B48F-1D18A9856A87
last_name: Uhler
orcid: 0000-0002-7008-0216
- first_name: Donald
full_name: Richards, Donald
last_name: Richards
citation:
ama: 'Zwiernik P, Uhler C, Richards D. Maximum likelihood estimation for linear
Gaussian covariance models. Journal of the Royal Statistical Society Series
B: Statistical Methodology. 2017;79(4):1269-1292. doi:10.1111/rssb.12217'
apa: 'Zwiernik, P., Uhler, C., & Richards, D. (2017). Maximum likelihood estimation
for linear Gaussian covariance models. Journal of the Royal Statistical Society.
Series B: Statistical Methodology. Wiley-Blackwell. https://doi.org/10.1111/rssb.12217'
chicago: 'Zwiernik, Piotr, Caroline Uhler, and Donald Richards. “Maximum Likelihood
Estimation for Linear Gaussian Covariance Models.” Journal of the Royal Statistical
Society. Series B: Statistical Methodology. Wiley-Blackwell, 2017. https://doi.org/10.1111/rssb.12217.'
ieee: 'P. Zwiernik, C. Uhler, and D. Richards, “Maximum likelihood estimation for
linear Gaussian covariance models,” Journal of the Royal Statistical Society.
Series B: Statistical Methodology, vol. 79, no. 4. Wiley-Blackwell, pp. 1269–1292,
2017.'
ista: 'Zwiernik P, Uhler C, Richards D. 2017. Maximum likelihood estimation for
linear Gaussian covariance models. Journal of the Royal Statistical Society. Series
B: Statistical Methodology. 79(4), 1269–1292.'
mla: 'Zwiernik, Piotr, et al. “Maximum Likelihood Estimation for Linear Gaussian
Covariance Models.” Journal of the Royal Statistical Society. Series B: Statistical
Methodology, vol. 79, no. 4, Wiley-Blackwell, 2017, pp. 1269–92, doi:10.1111/rssb.12217.'
short: 'P. Zwiernik, C. Uhler, D. Richards, Journal of the Royal Statistical Society.
Series B: Statistical Methodology 79 (2017) 1269–1292.'
corr_author: '1'
date_created: 2018-12-11T11:50:43Z
date_published: 2017-09-01T00:00:00Z
date_updated: 2025-06-04T09:41:22Z
day: '01'
department:
- _id: CaUh
doi: 10.1111/rssb.12217
external_id:
arxiv:
- '1408.5604'
isi:
- '000411712300012'
intvolume: ' 79'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1408.5604
month: '09'
oa: 1
oa_version: Submitted Version
page: 1269 - 1292
project:
- _id: 2530CA10-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Y 903-N35
name: 'Gaussian Graphical Models: Theory and Applications'
publication: 'Journal of the Royal Statistical Society. Series B: Statistical Methodology'
publication_identifier:
issn:
- 1369-7412
publication_status: published
publisher: Wiley-Blackwell
publist_id: '6142'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Maximum likelihood estimation for linear Gaussian covariance models
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 79
year: '2017'
...
---
_id: '1211'
abstract:
- lang: eng
text: Systems such as fluid flows in channels and pipes or the complex Ginzburg–Landau
system, defined over periodic domains, exhibit both continuous symmetries, translational
and rotational, as well as discrete symmetries under spatial reflections or complex
conjugation. The simplest, and very common symmetry of this type is the equivariance
of the defining equations under the orthogonal group O(2). We formulate a novel
symmetry reduction scheme for such systems by combining the method of slices with
invariant polynomial methods, and show how it works by applying it to the Kuramoto–Sivashinsky
system in one spatial dimension. As an example, we track a relative periodic orbit
through a sequence of bifurcations to the onset of chaos. Within the symmetry-reduced
state space we are able to compute and visualize the unstable manifolds of relative
periodic orbits, their torus bifurcations, a transition to chaos via torus breakdown,
and heteroclinic connections between various relative periodic orbits. It would
be very hard to carry through such analysis in the full state space, without a
symmetry reduction such as the one we present here.
acknowledgement: 'This work was supported by the family of late G. Robinson, Jr. and
NSF Grant DMS-1211827. '
article_processing_charge: No
author:
- first_name: Nazmi B
full_name: Budanur, Nazmi B
id: 3EA1010E-F248-11E8-B48F-1D18A9856A87
last_name: Budanur
orcid: 0000-0003-0423-5010
- first_name: Predrag
full_name: Cvitanović, Predrag
last_name: Cvitanović
citation:
ama: Budanur NB, Cvitanović P. Unstable manifolds of relative periodic orbits in
the symmetry reduced state space of the Kuramoto–Sivashinsky system. Journal
of Statistical Physics. 2017;167(3-4):636-655. doi:10.1007/s10955-016-1672-z
apa: Budanur, N. B., & Cvitanović, P. (2017). Unstable manifolds of relative
periodic orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky
system. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-016-1672-z
chicago: Budanur, Nazmi B, and Predrag Cvitanović. “Unstable Manifolds of Relative
Periodic Orbits in the Symmetry Reduced State Space of the Kuramoto–Sivashinsky
System.” Journal of Statistical Physics. Springer, 2017. https://doi.org/10.1007/s10955-016-1672-z.
ieee: N. B. Budanur and P. Cvitanović, “Unstable manifolds of relative periodic
orbits in the symmetry reduced state space of the Kuramoto–Sivashinsky system,”
Journal of Statistical Physics, vol. 167, no. 3–4. Springer, pp. 636–655,
2017.
ista: Budanur NB, Cvitanović P. 2017. Unstable manifolds of relative periodic orbits
in the symmetry reduced state space of the Kuramoto–Sivashinsky system. Journal
of Statistical Physics. 167(3–4), 636–655.
mla: Budanur, Nazmi B., and Predrag Cvitanović. “Unstable Manifolds of Relative
Periodic Orbits in the Symmetry Reduced State Space of the Kuramoto–Sivashinsky
System.” Journal of Statistical Physics, vol. 167, no. 3–4, Springer, 2017,
pp. 636–55, doi:10.1007/s10955-016-1672-z.
short: N.B. Budanur, P. Cvitanović, Journal of Statistical Physics 167 (2017) 636–655.
date_created: 2018-12-11T11:50:44Z
date_published: 2017-05-01T00:00:00Z
date_updated: 2025-09-22T09:36:50Z
day: '01'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1007/s10955-016-1672-z
external_id:
isi:
- '000400233600014'
file:
- access_level: open_access
checksum: 3e971d09eb167761aa0888ed415b0056
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:18:01Z
date_updated: 2020-07-14T12:44:39Z
file_id: '5319'
file_name: IST-2017-782-v1+1_BudCvi15.pdf
file_size: 2820207
relation: main_file
file_date_updated: 2020-07-14T12:44:39Z
has_accepted_license: '1'
intvolume: ' 167'
isi: 1
issue: 3-4
language:
- iso: eng
month: '05'
oa: 1
oa_version: Submitted Version
page: 636-655
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '6136'
pubrep_id: '782'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Unstable manifolds of relative periodic orbits in the symmetry reduced state
space of the Kuramoto–Sivashinsky system
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 167
year: '2017'
...
---
_id: '1213'
abstract:
- lang: eng
text: Bacterial cytokinesis is commonly initiated by the Z-ring, a dynamic cytoskeletal
structure that assembles at the site of division. Its primary component is FtsZ,
a tubulin-like GTPase, that like its eukaryotic relative forms protein filaments
in the presence of GTP. Since the discovery of the Z-ring 25 years ago, various
models for the role of FtsZ have been suggested. However, important information
about the architecture and dynamics of FtsZ filaments during cytokinesis is still
missing. One reason for this lack of knowledge has been the small size of bacteria,
which has made it difficult to resolve the orientation and dynamics of individual
FtsZ filaments in the Z-ring. While superresolution microscopy experiments have
helped to gain more information about the organization of the Z-ring in the dividing
cell, they were not yet able to elucidate a mechanism of how FtsZ filaments reorganize
during assembly and disassembly of the Z-ring. In this chapter, we explain how
to use an in vitro reconstitution approach to investigate the self-organization
of FtsZ filaments recruited to a biomimetic lipid bilayer by its membrane anchor
FtsA. We show how to perform single-molecule experiments to study the behavior
of individual FtsZ monomers during the constant reorganization of the FtsZ-FtsA
filament network. We describe how to analyze the dynamics of single molecules
and explain why this information can help to shed light onto possible mechanism
of Z-ring constriction. We believe that similar experimental approaches will be
useful to study the mechanism of membrane-based polymerization of other cytoskeletal
systems, not only from prokaryotic but also eukaryotic origin.
acknowledged_ssus:
- _id: Bio
acknowledgement: Natalia Baranova is supported by an EMBO Long-Term Fellowship (EMBO
ALTF 1163-2015) and Martin Loose by an ERC Starting Grant (ERCStG-2015-SelfOrganiCell).
alternative_title:
- Methods in Cell Biology
article_processing_charge: No
author:
- first_name: Natalia
full_name: Baranova, Natalia
id: 38661662-F248-11E8-B48F-1D18A9856A87
last_name: Baranova
orcid: 0000-0002-3086-9124
- first_name: Martin
full_name: Loose, Martin
id: 462D4284-F248-11E8-B48F-1D18A9856A87
last_name: Loose
orcid: 0000-0001-7309-9724
citation:
ama: 'Baranova NS, Loose M. Single-molecule measurements to study polymerization
dynamics of FtsZ-FtsA copolymers. In: Echard A, ed. Cytokinesis. Vol 137.
Academic Press; 2017:355-370. doi:10.1016/bs.mcb.2016.03.036'
apa: Baranova, N. S., & Loose, M. (2017). Single-molecule measurements to study
polymerization dynamics of FtsZ-FtsA copolymers. In A. Echard (Ed.), Cytokinesis
(Vol. 137, pp. 355–370). Academic Press. https://doi.org/10.1016/bs.mcb.2016.03.036
chicago: Baranova, Natalia S., and Martin Loose. “Single-Molecule Measurements to
Study Polymerization Dynamics of FtsZ-FtsA Copolymers.” In Cytokinesis,
edited by Arnaud Echard, 137:355–70. Academic Press, 2017. https://doi.org/10.1016/bs.mcb.2016.03.036.
ieee: N. S. Baranova and M. Loose, “Single-molecule measurements to study polymerization
dynamics of FtsZ-FtsA copolymers,” in Cytokinesis, vol. 137, A. Echard,
Ed. Academic Press, 2017, pp. 355–370.
ista: 'Baranova NS, Loose M. 2017.Single-molecule measurements to study polymerization
dynamics of FtsZ-FtsA copolymers. In: Cytokinesis. Methods in Cell Biology, vol.
137, 355–370.'
mla: Baranova, Natalia S., and Martin Loose. “Single-Molecule Measurements to Study
Polymerization Dynamics of FtsZ-FtsA Copolymers.” Cytokinesis, edited by
Arnaud Echard, vol. 137, Academic Press, 2017, pp. 355–70, doi:10.1016/bs.mcb.2016.03.036.
short: N.S. Baranova, M. Loose, in:, A. Echard (Ed.), Cytokinesis, Academic Press,
2017, pp. 355–370.
date_created: 2018-12-11T11:50:45Z
date_published: 2017-12-01T00:00:00Z
date_updated: 2025-07-10T11:50:24Z
day: '01'
department:
- _id: MaLo
doi: 10.1016/bs.mcb.2016.03.036
ec_funded: 1
editor:
- first_name: 'Arnaud '
full_name: 'Echard, Arnaud '
last_name: Echard
external_id:
isi:
- '000403542900022'
intvolume: ' 137'
isi: 1
language:
- iso: eng
month: '12'
oa_version: None
page: 355 - 370
project:
- _id: 2596EAB6-B435-11E9-9278-68D0E5697425
grant_number: ALTF 2015-1163
name: Synthesis of bacterial cell wall
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Cytokinesis
publication_identifier:
issn:
- 0091-679X
publication_status: published
publisher: Academic Press
publist_id: '6134'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Single-molecule measurements to study polymerization dynamics of FtsZ-FtsA
copolymers
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 137
year: '2017'
...
---
OA_place: repository
OA_type: green
_id: '22025'
abstract:
- lang: eng
text: We consider the mass-subcritical nonlinear Schr¨odinger equation in all space
dimensions with focusing or defocusing nonlinearity. For such equations with critical
regularity sc ∈ (max{−1, −d/2 }, 0), we prove that any solution satisfying {mathematical
formular} on its maximal interval of existence must be global and scatter.
article_number: '38'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rowan
full_name: Killip, Rowan
last_name: Killip
- first_name: Satoshi
full_name: Masaki, Satoshi
last_name: Masaki
- first_name: Jason
full_name: Murphy, Jason
last_name: Murphy
- first_name: Monica
full_name: Visan, Monica
id: 056daca0-b8d1-11f0-964f-f91054abf8ca
last_name: Visan
citation:
ama: 'Killip R, Masaki S, Murphy J, Vişan M. Large data mass-subcritical NLS: Critical
weighted bounds imply scattering. Nonlinear Differential Equations and Applications
NoDEA. 2017;24(4). doi:10.1007/s00030-017-0463-9'
apa: 'Killip, R., Masaki, S., Murphy, J., & Vişan, M. (2017). Large data mass-subcritical
NLS: Critical weighted bounds imply scattering. Nonlinear Differential Equations
and Applications NoDEA. Springer Nature. https://doi.org/10.1007/s00030-017-0463-9'
chicago: 'Killip, Rowan, Satoshi Masaki, Jason Murphy, and Monica Vişan. “Large
Data Mass-Subcritical NLS: Critical Weighted Bounds Imply Scattering.” Nonlinear
Differential Equations and Applications NoDEA. Springer Nature, 2017. https://doi.org/10.1007/s00030-017-0463-9.'
ieee: 'R. Killip, S. Masaki, J. Murphy, and M. Vişan, “Large data mass-subcritical
NLS: Critical weighted bounds imply scattering,” Nonlinear Differential Equations
and Applications NoDEA, vol. 24, no. 4. Springer Nature, 2017.'
ista: 'Killip R, Masaki S, Murphy J, Vişan M. 2017. Large data mass-subcritical
NLS: Critical weighted bounds imply scattering. Nonlinear Differential Equations
and Applications NoDEA. 24(4), 38.'
mla: 'Killip, Rowan, et al. “Large Data Mass-Subcritical NLS: Critical Weighted
Bounds Imply Scattering.” Nonlinear Differential Equations and Applications
NoDEA, vol. 24, no. 4, 38, Springer Nature, 2017, doi:10.1007/s00030-017-0463-9.'
short: R. Killip, S. Masaki, J. Murphy, M. Vişan, Nonlinear Differential Equations
and Applications NoDEA 24 (2017).
das_tickbox: '1'
date_created: 2026-06-19T07:32:33Z
date_published: 2017-06-15T00:00:00Z
date_updated: 2026-06-22T10:26:09Z
day: '15'
doi: 10.1007/s00030-017-0463-9
extern: '1'
external_id:
arxiv:
- '1606.01512'
intvolume: ' 24'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.1606.01512
month: '06'
oa: 1
oa_version: Preprint
publication: Nonlinear Differential Equations and Applications NoDEA
publication_identifier:
eissn:
- 1420-9004
issn:
- 1021-9722
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Large data mass-subcritical NLS: Critical weighted bounds imply scattering'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 24
year: '2017'
...
---
OA_place: repository
OA_type: green
_id: '22033'
abstract:
- lang: eng
text: "We consider the defocusing energy-critical nonlinear Schrödinger\r\nequation
with inverse-square potential iut = −∆u + a|x|^−2u + |u|^4u in three\r\nspace
dimensions. We prove global well-posedness and scattering for a >− 1/4 + 1/25.
We also carry out the variational analysis needed to treat the focusing case."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rowan
full_name: Killip, Rowan
last_name: Killip
- first_name: Changxing
full_name: Miao, Changxing
last_name: Miao
- first_name: Monica
full_name: Visan, Monica
id: 056daca0-b8d1-11f0-964f-f91054abf8ca
last_name: Visan
- first_name: Junyong
full_name: Zhang, Junyong
last_name: Zhang
- first_name: Jiqiang
full_name: Zheng, Jiqiang
last_name: Zheng
citation:
ama: Killip R, Miao C, Vişan M, Zhang J, Zheng J. The energy-critical NLS with inverse-square
potential. Discrete and Continuous Dynamical Systems. 2017;37(7):3831-3866.
doi:10.3934/dcds.2017162
apa: Killip, R., Miao, C., Vişan, M., Zhang, J., & Zheng, J. (2017). The energy-critical
NLS with inverse-square potential. Discrete and Continuous Dynamical Systems.
American Institute of Mathematical Sciences. https://doi.org/10.3934/dcds.2017162
chicago: Killip, Rowan, Changxing Miao, Monica Vişan, Junyong Zhang, and Jiqiang
Zheng. “The Energy-Critical NLS with Inverse-Square Potential.” Discrete and
Continuous Dynamical Systems. American Institute of Mathematical Sciences,
2017. https://doi.org/10.3934/dcds.2017162.
ieee: R. Killip, C. Miao, M. Vişan, J. Zhang, and J. Zheng, “The energy-critical
NLS with inverse-square potential,” Discrete and Continuous Dynamical Systems,
vol. 37, no. 7. American Institute of Mathematical Sciences, pp. 3831–3866, 2017.
ista: Killip R, Miao C, Vişan M, Zhang J, Zheng J. 2017. The energy-critical NLS
with inverse-square potential. Discrete and Continuous Dynamical Systems. 37(7),
3831–3866.
mla: Killip, Rowan, et al. “The Energy-Critical NLS with Inverse-Square Potential.”
Discrete and Continuous Dynamical Systems, vol. 37, no. 7, American Institute
of Mathematical Sciences, 2017, pp. 3831–66, doi:10.3934/dcds.2017162.
short: R. Killip, C. Miao, M. Vişan, J. Zhang, J. Zheng, Discrete and Continuous
Dynamical Systems 37 (2017) 3831–3866.
das_tickbox: '1'
date_created: 2026-06-19T07:42:59Z
date_published: 2017-07-01T00:00:00Z
date_updated: 2026-06-22T12:47:32Z
day: '01'
doi: 10.3934/dcds.2017162
extern: '1'
external_id:
arxiv:
- '1509.05822'
intvolume: ' 37'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.1509.05822
month: '07'
oa: 1
oa_version: Preprint
page: 3831-3866
publication: Discrete and Continuous Dynamical Systems
publication_identifier:
eissn:
- 1553-5231
issn:
- 1078-0947
publication_status: published
publisher: American Institute of Mathematical Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: The energy-critical NLS with inverse-square potential
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 37
year: '2017'
...
---
_id: '256'
abstract:
- lang: eng
text: We show that a non-singular integral form of degree d is soluble over the
integers if and only if it is soluble over ℝ and over ℚp for all primes p, provided
that the form has at least (d - 1/2 √d)2d variables. This improves on a longstanding
result of Birch.
acknowledgement: While working on this paper the authors were supported by the Leverhulme
Trust and ERC grant 306457.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Sean
full_name: Prendiville, Sean
last_name: Prendiville
citation:
ama: Browning TD, Prendiville S. Improvements in Birch’s theorem on forms in many
variables. Journal fur die Reine und Angewandte Mathematik. 2017;2017(731):122.
doi:10.1515/crelle-2014-0122
apa: Browning, T. D., & Prendiville, S. (2017). Improvements in Birch’s theorem
on forms in many variables. Journal Fur Die Reine Und Angewandte Mathematik.
Walter de Gruyter. https://doi.org/10.1515/crelle-2014-0122
chicago: Browning, Timothy D, and Sean Prendiville. “Improvements in Birch’s Theorem
on Forms in Many Variables.” Journal Fur Die Reine Und Angewandte Mathematik.
Walter de Gruyter, 2017. https://doi.org/10.1515/crelle-2014-0122.
ieee: T. D. Browning and S. Prendiville, “Improvements in Birch’s theorem on forms
in many variables,” Journal fur die Reine und Angewandte Mathematik, vol.
2017, no. 731. Walter de Gruyter, p. 122, 2017.
ista: Browning TD, Prendiville S. 2017. Improvements in Birch’s theorem on forms
in many variables. Journal fur die Reine und Angewandte Mathematik. 2017(731),
122.
mla: Browning, Timothy D., and Sean Prendiville. “Improvements in Birch’s Theorem
on Forms in Many Variables.” Journal Fur Die Reine Und Angewandte Mathematik,
vol. 2017, no. 731, Walter de Gruyter, 2017, p. 122, doi:10.1515/crelle-2014-0122.
short: T.D. Browning, S. Prendiville, Journal Fur Die Reine Und Angewandte Mathematik
2017 (2017) 122.
corr_author: '1'
date_created: 2018-12-11T11:45:28Z
date_published: 2017-10-01T00:00:00Z
date_updated: 2024-10-09T20:58:16Z
day: '01'
doi: 10.1515/crelle-2014-0122
extern: '1'
external_id:
arxiv:
- '1402.4489'
intvolume: ' 2017'
issue: '731'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1402.4489
month: '10'
oa: 1
oa_version: Preprint
page: '122'
publication: Journal fur die Reine und Angewandte Mathematik
publication_identifier:
issn:
- 0075-4102
publication_status: published
publisher: Walter de Gruyter
publist_id: '7646'
quality_controlled: '1'
related_material:
record:
- id: '271'
relation: earlier_version
status: public
status: public
title: Improvements in Birch's theorem on forms in many variables
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2017
year: '2017'
...
---
_id: '265'
abstract:
- lang: eng
text: We establish the dimension and irreducibility of the moduli space of rational
curves (of fixed degree) on arbitrary smooth hypersurfaces of sufficiently low
degree. A spreading out argument reduces the problem to hypersurfaces defined
over finite fields of large cardinality, which can then be tackled using a function
field version of the Hardy-Littlewood circle method, in which particular care
is taken to ensure uniformity in the size of the underlying finite field.
acknowledgement: While working on this paper the first author was supported by ERC
grant 306457.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Pankaj
full_name: Vishe, Pankaj
last_name: Vishe
citation:
ama: Browning TD, Vishe P. Rational curves on smooth hypersurfaces of low degree.
Geometric Methods in Algebra and Number Theory. 2017;11(7):1657-1675. doi:10.2140/ant.2017.11.1657
apa: Browning, T. D., & Vishe, P. (2017). Rational curves on smooth hypersurfaces
of low degree. Geometric Methods in Algebra and Number Theory. Mathematical
Sciences Publishers. https://doi.org/10.2140/ant.2017.11.1657
chicago: Browning, Timothy D, and Pankaj Vishe. “Rational Curves on Smooth Hypersurfaces
of Low Degree.” Geometric Methods in Algebra and Number Theory. Mathematical
Sciences Publishers, 2017. https://doi.org/10.2140/ant.2017.11.1657.
ieee: T. D. Browning and P. Vishe, “Rational curves on smooth hypersurfaces of low
degree,” Geometric Methods in Algebra and Number Theory, vol. 11, no. 7. Mathematical
Sciences Publishers, pp. 1657–1675, 2017.
ista: Browning TD, Vishe P. 2017. Rational curves on smooth hypersurfaces of low
degree. Geometric Methods in Algebra and Number Theory. 11(7), 1657–1675.
mla: Browning, Timothy D., and Pankaj Vishe. “Rational Curves on Smooth Hypersurfaces
of Low Degree.” Geometric Methods in Algebra and Number Theory, vol. 11,
no. 7, Mathematical Sciences Publishers, 2017, pp. 1657–75, doi:10.2140/ant.2017.11.1657.
short: T.D. Browning, P. Vishe, Geometric Methods in Algebra and Number Theory 11
(2017) 1657–1675.
corr_author: '1'
date_created: 2018-12-11T11:45:30Z
date_published: 2017-09-07T00:00:00Z
date_updated: 2024-10-09T20:58:17Z
day: '07'
doi: 10.2140/ant.2017.11.1657
extern: '1'
external_id:
arxiv:
- '1611.00553'
intvolume: ' 11'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1611.00553
month: '09'
oa: 1
oa_version: Preprint
page: 1657 - 1675
publication: Geometric Methods in Algebra and Number Theory
publication_identifier:
eissn:
- 1944-7833
publication_status: published
publisher: ' Mathematical Sciences Publishers'
publist_id: '7637'
quality_controlled: '1'
status: public
title: Rational curves on smooth hypersurfaces of low degree
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 11
year: '2017'
...
---
_id: '266'
abstract:
- lang: eng
text: We generalise Birch's seminal work on forms in many variables to handle a
system of forms in which the degrees need not all be the same. This allows us
to prove the Hasse principle, weak approximation, and the Manin-Peyre conjecture
for a smooth and geometrically integral variety X Pm, provided only that its dimension
is large enough in terms of its degree.
acknowledgement: While working on this paper the first author was supported by ERC
grant 306457.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Roger
full_name: Heath Brown, Roger
last_name: Heath Brown
citation:
ama: Browning TD, Heath Brown R. Forms in many variables and differing degrees.
Journal of the European Mathematical Society. 2017;19(2):357-394. doi:10.4171/JEMS/668
apa: Browning, T. D., & Heath Brown, R. (2017). Forms in many variables and
differing degrees. Journal of the European Mathematical Society. European
Mathematical Society Publishing House. https://doi.org/10.4171/JEMS/668
chicago: Browning, Timothy D, and Roger Heath Brown. “Forms in Many Variables and
Differing Degrees.” Journal of the European Mathematical Society. European
Mathematical Society Publishing House, 2017. https://doi.org/10.4171/JEMS/668.
ieee: T. D. Browning and R. Heath Brown, “Forms in many variables and differing
degrees,” Journal of the European Mathematical Society, vol. 19, no. 2.
European Mathematical Society Publishing House, pp. 357–394, 2017.
ista: Browning TD, Heath Brown R. 2017. Forms in many variables and differing degrees.
Journal of the European Mathematical Society. 19(2), 357–394.
mla: Browning, Timothy D., and Roger Heath Brown. “Forms in Many Variables and Differing
Degrees.” Journal of the European Mathematical Society, vol. 19, no. 2,
European Mathematical Society Publishing House, 2017, pp. 357–94, doi:10.4171/JEMS/668.
short: T.D. Browning, R. Heath Brown, Journal of the European Mathematical Society
19 (2017) 357–394.
corr_author: '1'
date_created: 2018-12-11T11:45:31Z
date_published: 2017-01-26T00:00:00Z
date_updated: 2024-10-09T20:58:17Z
day: '26'
doi: 10.4171/JEMS/668
extern: '1'
external_id:
arxiv:
- '1403.5937'
intvolume: ' 19'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1403.5937
month: '01'
oa: 1
oa_version: Preprint
page: 357 - 394
publication: Journal of the European Mathematical Society
publication_status: published
publisher: European Mathematical Society Publishing House
publist_id: '7636'
quality_controlled: '1'
status: public
title: Forms in many variables and differing degrees
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 19
year: '2017'
...
---
_id: '267'
abstract:
- lang: eng
text: Building on recent work of Bhargava, Elkies and Schnidman and of Kriz and
Li, we produce infinitely many smooth cubic surfaces defined over the field of
rational numbers that contain rational points.
acknowledgement: While working on this paper the author was supported by ERC grant
306457.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
citation:
ama: Browning TD. Many cubic surfaces contain rational points. Mathematika.
2017;63(3):818-839. doi:10.1112/S0025579317000195
apa: Browning, T. D. (2017). Many cubic surfaces contain rational points. Mathematika.
Cambridge University Press. https://doi.org/10.1112/S0025579317000195
chicago: Browning, Timothy D. “Many Cubic Surfaces Contain Rational Points.” Mathematika.
Cambridge University Press, 2017. https://doi.org/10.1112/S0025579317000195.
ieee: T. D. Browning, “Many cubic surfaces contain rational points,” Mathematika,
vol. 63, no. 3. Cambridge University Press, pp. 818–839, 2017.
ista: Browning TD. 2017. Many cubic surfaces contain rational points. Mathematika.
63(3), 818–839.
mla: Browning, Timothy D. “Many Cubic Surfaces Contain Rational Points.” Mathematika,
vol. 63, no. 3, Cambridge University Press, 2017, pp. 818–39, doi:10.1112/S0025579317000195.
short: T.D. Browning, Mathematika 63 (2017) 818–839.
corr_author: '1'
date_created: 2018-12-11T11:45:31Z
date_published: 2017-11-29T00:00:00Z
date_updated: 2024-10-09T20:58:16Z
day: '29'
doi: 10.1112/S0025579317000195
extern: '1'
external_id:
arxiv:
- '1701.00525'
intvolume: ' 63'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1701.00525
month: '11'
oa: 1
oa_version: Preprint
page: 818 - 839
publication: Mathematika
publication_identifier:
issn:
- 0025-5793
publication_status: published
publisher: Cambridge University Press
publist_id: '7635'
quality_controlled: '1'
status: public
title: Many cubic surfaces contain rational points
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 63
year: '2017'
...
---
_id: '268'
abstract:
- lang: eng
text: We show that any subset of the squares of positive relative upper density
contains nontrivial solutions to a translation-invariant linear equation in five
or more variables, with explicit quantitative bounds. As a consequence, we establish
the partition regularity of any diagonal quadric in five or more variables whose
coefficients sum to zero. Unlike previous approaches, which are limited to equations
in seven or more variables, we employ transference technology of Green to import
bounds from the linear setting.
acknowledgement: Whilst working on this paper the authors were supported by ERC grant
306457.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Timothy D
full_name: Browning, Timothy D
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Sean
full_name: Prendiville, Sean
last_name: Prendiville
citation:
ama: Browning TD, Prendiville S. A transference approach to a Roth-type theorem
in the squares. International Mathematics Research Notices. 2017;2017(7):2219-2248.
doi:10.1093/imrn/rnw096
apa: Browning, T. D., & Prendiville, S. (2017). A transference approach to a
Roth-type theorem in the squares. International Mathematics Research Notices.
Oxford University Press. https://doi.org/10.1093/imrn/rnw096
chicago: Browning, Timothy D, and Sean Prendiville. “A Transference Approach to
a Roth-Type Theorem in the Squares.” International Mathematics Research Notices.
Oxford University Press, 2017. https://doi.org/10.1093/imrn/rnw096.
ieee: T. D. Browning and S. Prendiville, “A transference approach to a Roth-type
theorem in the squares,” International Mathematics Research Notices, vol.
2017, no. 7. Oxford University Press, pp. 2219–2248, 2017.
ista: Browning TD, Prendiville S. 2017. A transference approach to a Roth-type theorem
in the squares. International Mathematics Research Notices. 2017(7), 2219–2248.
mla: Browning, Timothy D., and Sean Prendiville. “A Transference Approach to a Roth-Type
Theorem in the Squares.” International Mathematics Research Notices, vol.
2017, no. 7, Oxford University Press, 2017, pp. 2219–48, doi:10.1093/imrn/rnw096.
short: T.D. Browning, S. Prendiville, International Mathematics Research Notices
2017 (2017) 2219–2248.
date_created: 2018-12-11T11:45:31Z
date_published: 2017-04-01T00:00:00Z
date_updated: 2024-03-05T11:52:36Z
day: '01'
doi: 10.1093/imrn/rnw096
extern: '1'
external_id:
arxiv:
- '1510.00136'
intvolume: ' 2017'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1510.00136
month: '04'
oa: 1
oa_version: Preprint
page: 2219 - 2248
publication: International Mathematics Research Notices
publication_identifier:
issn:
- 1073-7928
publication_status: published
publisher: Oxford University Press
publist_id: '7634'
quality_controlled: '1'
status: public
title: A transference approach to a Roth-type theorem in the squares
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2017
year: '2017'
...