---
_id: '3014'
abstract:
- lang: eng
text: Plant biology is currently confronted with an overflow of expression profile
data provided by high-throughput microarray transcription analyses. However, the
tissue and cellular resolution of these techniques is limited. Thus, it is still
necessary to examine the expression pattern of selected candidate genes at a cellular
level. Here we present an in situ mRNA hybridization method that is routinely
used in the analysis of gene expression patterns. The protocol is optimized for
mRNA localizations in sectioned tissue of Arabidopsis seedlings including embryos,
roots, hypocotyls, young primary leaves and flowers. The detailed protocol, recommended
controls and troubleshooting are presented along with examples of application.
The total time for the process is 10 days.
author:
- first_name: Philip
full_name: Brewer, Philip B
last_name: Brewer
- first_name: Marcus
full_name: Heisler, Marcus G
last_name: Heisler
- first_name: Jan
full_name: Hejátko, Jan
last_name: Hejátko
- first_name: Jirí
full_name: Jirí Friml
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
- first_name: Eva
full_name: Eva Benková
id: 38F4F166-F248-11E8-B48F-1D18A9856A87
last_name: Benková
orcid: 0000-0002-8510-9739
citation:
ama: Brewer P, Heisler M, Hejátko J, Friml J, Benková E. In situ hybridization for
mRNA detection in Arabidopsis tissue sections. Nature Protocols. 2006;1(3):1462-1467.
doi:10.1038/nprot.2006.226
apa: Brewer, P., Heisler, M., Hejátko, J., Friml, J., & Benková, E. (2006).
In situ hybridization for mRNA detection in Arabidopsis tissue sections. Nature
Protocols. Nature Publishing Group. https://doi.org/10.1038/nprot.2006.226
chicago: Brewer, Philip, Marcus Heisler, Jan Hejátko, Jiří Friml, and Eva Benková.
“In Situ Hybridization for MRNA Detection in Arabidopsis Tissue Sections.” Nature
Protocols. Nature Publishing Group, 2006. https://doi.org/10.1038/nprot.2006.226.
ieee: P. Brewer, M. Heisler, J. Hejátko, J. Friml, and E. Benková, “In situ hybridization
for mRNA detection in Arabidopsis tissue sections,” Nature Protocols, vol.
1, no. 3. Nature Publishing Group, pp. 1462–1467, 2006.
ista: Brewer P, Heisler M, Hejátko J, Friml J, Benková E. 2006. In situ hybridization
for mRNA detection in Arabidopsis tissue sections. Nature Protocols. 1(3), 1462–1467.
mla: Brewer, Philip, et al. “In Situ Hybridization for MRNA Detection in Arabidopsis
Tissue Sections.” Nature Protocols, vol. 1, no. 3, Nature Publishing Group,
2006, pp. 1462–67, doi:10.1038/nprot.2006.226.
short: P. Brewer, M. Heisler, J. Hejátko, J. Friml, E. Benková, Nature Protocols
1 (2006) 1462–1467.
date_created: 2018-12-11T12:00:52Z
date_published: 2006-08-01T00:00:00Z
date_updated: 2021-01-12T07:40:28Z
day: '01'
doi: 10.1038/nprot.2006.226
extern: 1
intvolume: ' 1'
issue: '3'
month: '08'
page: 1462 - 1467
publication: Nature Protocols
publication_status: published
publisher: Nature Publishing Group
publist_id: '3687'
quality_controlled: 0
status: public
title: In situ hybridization for mRNA detection in Arabidopsis tissue sections
type: journal_article
volume: 1
year: '2006'
...
---
_id: '3015'
abstract:
- lang: eng
text: 'As the field of plant molecular biology is swiftly advancing, a need has
been created for methods that allow rapid and reliable in situ localization of
proteins in plant cells. Here we describe a whole-mount ''immunolocalization''
technique for various plant tissues, including roots, hypocotyls, cotyledons,
young primary leaves and embryos of Arabidopsis thaliana and other species. The
detailed protocol, recommended controls and troubleshooting are presented, along
with examples of applications. The protocol consists of five main procedures:
tissue fixation, tissue permeation, blocking, primary and secondary antibody incubation.
Notably, the first procedure (tissue fixation) includes several steps (4-12) that
are absolutely necessary for protein localization in hypocotyls, cotyledons and
young primary leaves but should be omitted for other tissues. The protocol is
usually done in 3 days, but could also be completed in 2 days.'
author:
- first_name: Michael
full_name: Sauer, Michael
last_name: Sauer
- first_name: Tomasz
full_name: Paciorek, Tomasz
last_name: Paciorek
- first_name: Eva
full_name: Eva Benková
id: 38F4F166-F248-11E8-B48F-1D18A9856A87
last_name: Benková
orcid: 0000-0002-8510-9739
- first_name: Jirí
full_name: Jirí Friml
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
citation:
ama: Sauer M, Paciorek T, Benková E, Friml J. Immunocytochemical techniques for
whole mount in situ protein localization in plants. Nature Protocols. 2006;1(1):98-103.
doi:10.1038/nprot.2006.15
apa: Sauer, M., Paciorek, T., Benková, E., & Friml, J. (2006). Immunocytochemical
techniques for whole mount in situ protein localization in plants. Nature Protocols.
Nature Publishing Group. https://doi.org/10.1038/nprot.2006.15
chicago: Sauer, Michael, Tomasz Paciorek, Eva Benková, and Jiří Friml. “Immunocytochemical
Techniques for Whole Mount in Situ Protein Localization in Plants.” Nature
Protocols. Nature Publishing Group, 2006. https://doi.org/10.1038/nprot.2006.15.
ieee: M. Sauer, T. Paciorek, E. Benková, and J. Friml, “Immunocytochemical techniques
for whole mount in situ protein localization in plants,” Nature Protocols,
vol. 1, no. 1. Nature Publishing Group, pp. 98–103, 2006.
ista: Sauer M, Paciorek T, Benková E, Friml J. 2006. Immunocytochemical techniques
for whole mount in situ protein localization in plants. Nature Protocols. 1(1),
98–103.
mla: Sauer, Michael, et al. “Immunocytochemical Techniques for Whole Mount in Situ
Protein Localization in Plants.” Nature Protocols, vol. 1, no. 1, Nature
Publishing Group, 2006, pp. 98–103, doi:10.1038/nprot.2006.15.
short: M. Sauer, T. Paciorek, E. Benková, J. Friml, Nature Protocols 1 (2006) 98–103.
date_created: 2018-12-11T12:00:52Z
date_published: 2006-06-01T00:00:00Z
date_updated: 2021-01-12T07:40:28Z
day: '01'
doi: 10.1038/nprot.2006.15
extern: 1
intvolume: ' 1'
issue: '1'
month: '06'
page: 98 - 103
publication: Nature Protocols
publication_status: published
publisher: Nature Publishing Group
publist_id: '3688'
quality_controlled: 0
status: public
title: Immunocytochemical techniques for whole mount in situ protein localization
in plants
type: journal_article
volume: 1
year: '2006'
...
---
_id: '3016'
abstract:
- lang: eng
text: Plant development is characterized by a profound ability to regenerate and
form tissues with new axes of polarity. An unsolved question concerns how the
position within a tissue and cues from neighboring cells are integrated to specify
the polarity of individual cells. The canalization hypothesis proposes a feedback
effect of the phytohormone auxin on the directionality of intercellular auxin
flow as a means to polarize tissues. Here we identify a cellular and molecular
mechanism for canalization. Local auxin application, wounding, or auxin accumulation
during de novo organ formation lead to rearrangements in the subcellular polar
localization of PIN auxin transport components. This auxin effect on PIN polarity
is cell-specific, does not depend on PIN transcription, and involves the Aux/IAA-ARF
(indole-3-acetic acid-auxin response factor) signaling pathway. Our data suggest
that auxin acts as polarizing cue, which links individual cell polarity with tissue
and organ polarity through control of PIN polar targeting. This feedback regulation
provides a conceptual framework for polarization during multiple regenerative
and patterning processes in plants.
article_processing_charge: No
author:
- first_name: Michael
full_name: Sauer, Michael
last_name: Sauer
- first_name: Jozef
full_name: Balla, Jozef
last_name: Balla
- first_name: Christian
full_name: Luschnig, Christian
last_name: Luschnig
- first_name: Justyna
full_name: Wiśniewska, Justyna
last_name: Wiśniewska
- first_name: Vilém
full_name: Reinöhl, Vilém
last_name: Reinöhl
- first_name: Jirí
full_name: Friml, Jirí
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
- first_name: Eva
full_name: Benková, Eva
id: 38F4F166-F248-11E8-B48F-1D18A9856A87
last_name: Benková
orcid: 0000-0002-8510-9739
citation:
ama: Sauer M, Balla J, Luschnig C, et al. Canalization of auxin flow by Aux/IAA-ARF-dependent
feedback regulation of PIN polarity. Genes and Development. 2006;20(20):2902-2911.
doi:10.1101/gad.390806
apa: Sauer, M., Balla, J., Luschnig, C., Wiśniewska, J., Reinöhl, V., Friml, J.,
& Benková, E. (2006). Canalization of auxin flow by Aux/IAA-ARF-dependent
feedback regulation of PIN polarity. Genes and Development. Cold Spring
Harbor Laboratory Press. https://doi.org/10.1101/gad.390806
chicago: Sauer, Michael, Jozef Balla, Christian Luschnig, Justyna Wiśniewska, Vilém
Reinöhl, Jiří Friml, and Eva Benková. “Canalization of Auxin Flow by Aux/IAA-ARF-Dependent
Feedback Regulation of PIN Polarity.” Genes and Development. Cold Spring
Harbor Laboratory Press, 2006. https://doi.org/10.1101/gad.390806.
ieee: M. Sauer et al., “Canalization of auxin flow by Aux/IAA-ARF-dependent
feedback regulation of PIN polarity,” Genes and Development, vol. 20, no.
20. Cold Spring Harbor Laboratory Press, pp. 2902–2911, 2006.
ista: Sauer M, Balla J, Luschnig C, Wiśniewska J, Reinöhl V, Friml J, Benková E.
2006. Canalization of auxin flow by Aux/IAA-ARF-dependent feedback regulation
of PIN polarity. Genes and Development. 20(20), 2902–2911.
mla: Sauer, Michael, et al. “Canalization of Auxin Flow by Aux/IAA-ARF-Dependent
Feedback Regulation of PIN Polarity.” Genes and Development, vol. 20, no.
20, Cold Spring Harbor Laboratory Press, 2006, pp. 2902–11, doi:10.1101/gad.390806.
short: M. Sauer, J. Balla, C. Luschnig, J. Wiśniewska, V. Reinöhl, J. Friml, E.
Benková, Genes and Development 20 (2006) 2902–2911.
date_created: 2018-12-11T12:00:53Z
date_published: 2006-10-15T00:00:00Z
date_updated: 2021-11-16T07:53:09Z
day: '15'
doi: 10.1101/gad.390806
extern: '1'
intvolume: ' 20'
issue: '20'
language:
- iso: eng
month: '10'
oa_version: None
page: 2902 - 2911
publication: Genes and Development
publication_status: published
publisher: Cold Spring Harbor Laboratory Press
publist_id: '3686'
related_material:
link:
- relation: erratum
url: http://genesdev.cshlp.org/content/21/11/1431.short
status: public
title: Canalization of auxin flow by Aux/IAA-ARF-dependent feedback regulation of
PIN polarity
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 20
year: '2006'
...
---
_id: '3017'
abstract:
- lang: eng
text: The plant hormone auxin plays crucial roles in regulating plant growth development,
including embryo and root patterning, organ formation, vascular tissue differentiation
and growth responses to environmental stimuli. Asymmetric auxin distribution patterns
have been observed within tissues, and these so-called auxin gradients change
dynamically during different developmental processes. Most auxin is synthesized
in the shoot and distributed directionally throughout the plant. This polar auxin
transport is mediated by auxin influx and efflux facilitators, whose subcellular
polar localizations guide the direction of auxin flow. The polar localization
of PIN auxin efflux carriers changes in response to developmental and external
cues in order to channel auxin flow in a regulated manner for organized growth.
Auxin itself modulates the expression and subcellular localization of PIN proteins,
contributing to a complex pattern of feedback regulation. Here we review the available
information mainly from studies of a model plant, Arabidopsis thaliana, on the
generation of auxin gradients, the regulation of polar auxin transport and further
downstream cellular events.
author:
- first_name: Hirokazu
full_name: Tanaka, Hirokazu
last_name: Tanaka
- first_name: Pankaj
full_name: Dhonukshe, Pankaj
last_name: Dhonukshe
- first_name: Philip
full_name: Brewer, Philip
last_name: Brewer
- first_name: Jirí
full_name: Friml, Jirí
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
citation:
ama: 'Tanaka H, Dhonukshe P, Brewer P, Friml J. Spatiotemporal asymmetric auxin
distribution: A means to coordinate plant development. Cellular and Molecular
Life Sciences. 2006;63(23):2738-2754. doi:10.1007/s00018-006-6116-5'
apa: 'Tanaka, H., Dhonukshe, P., Brewer, P., & Friml, J. (2006). Spatiotemporal
asymmetric auxin distribution: A means to coordinate plant development. Cellular
and Molecular Life Sciences. Birkhäuser. https://doi.org/10.1007/s00018-006-6116-5'
chicago: 'Tanaka, Hirokazu, Pankaj Dhonukshe, Philip Brewer, and Jiří Friml. “Spatiotemporal
Asymmetric Auxin Distribution: A Means to Coordinate Plant Development.” Cellular
and Molecular Life Sciences. Birkhäuser, 2006. https://doi.org/10.1007/s00018-006-6116-5.'
ieee: 'H. Tanaka, P. Dhonukshe, P. Brewer, and J. Friml, “Spatiotemporal asymmetric
auxin distribution: A means to coordinate plant development,” Cellular and
Molecular Life Sciences, vol. 63, no. 23. Birkhäuser, pp. 2738–2754, 2006.'
ista: 'Tanaka H, Dhonukshe P, Brewer P, Friml J. 2006. Spatiotemporal asymmetric
auxin distribution: A means to coordinate plant development. Cellular and Molecular
Life Sciences. 63(23), 2738–2754.'
mla: 'Tanaka, Hirokazu, et al. “Spatiotemporal Asymmetric Auxin Distribution: A
Means to Coordinate Plant Development.” Cellular and Molecular Life Sciences,
vol. 63, no. 23, Birkhäuser, 2006, pp. 2738–54, doi:10.1007/s00018-006-6116-5.'
short: H. Tanaka, P. Dhonukshe, P. Brewer, J. Friml, Cellular and Molecular Life
Sciences 63 (2006) 2738–2754.
date_created: 2018-12-11T12:00:53Z
date_published: 2006-12-01T00:00:00Z
date_updated: 2021-01-12T07:40:29Z
day: '01'
doi: 10.1007/s00018-006-6116-5
extern: '1'
intvolume: ' 63'
issue: '23'
language:
- iso: eng
month: '12'
oa_version: None
page: 2738 - 2754
publication: Cellular and Molecular Life Sciences
publication_status: published
publisher: Birkhäuser
publist_id: '3685'
quality_controlled: '1'
status: public
title: 'Spatiotemporal asymmetric auxin distribution: A means to coordinate plant
development'
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 63
year: '2006'
...
---
_id: '3018'
abstract:
- lang: eng
text: The directional flow of the plant hormone auxin mediates multiple developmental
processes, including patterning and tropisms. Apical and basal plasma membrane
localization of AUXIN-RESISTANT1 (AUX1) and PIN-FORMED1 (PIN1) auxin transport
components underpins the directionality of intercellular auxin flow in Arabidopsis
thaliana roots. Here, we examined the mechanism of polar trafficking of AUX1.
Real-time live cell analysis along with subcellular markers revealed that AUX1
resides at the apical plasma membrane of protophloem cells and at highly dynamic
subpopulations of Golgi apparatus and endosomes in all cell types. Plasma membrane
and intracellular pools of AUX1 are interconnected by actin-dependent constitutive
trafficking, which is not sensitive to the vesicle trafficking inhibitor brefeldin
A. AUX1 subcellular dynamics are not influenced by the auxin influx inhibitor
NOA but are blocked by the auxin efflux inhibitors TIBA and PBA. Furthermore,
auxin transport inhibitors and interference with the sterol composition of membranes
disrupt polar AUX1 distribution at the plasma membrane. Compared with PIN1 trafficking,
AUX1 dynamics display different sensitivities to trafficking inhibitors and are
independent of the endosomal trafficking regulator ARF GEF GNOM. Hence, AUX1 uses
a novel trafficking pathway in plants that is distinct from PIN trafficking, providing
an additional mechanism for the fine regulation of auxin transport.
author:
- first_name: Jürgen
full_name: Kleine-Vehn, Jürgen
last_name: Kleine Vehn
- first_name: Pankaj
full_name: Dhonukshe, Pankaj
last_name: Dhonukshe
- first_name: Ranjan
full_name: Swarup, Ranjan
last_name: Swarup
- first_name: Malcolm
full_name: Bennett, Malcolm
last_name: Bennett
- first_name: Jirí
full_name: Jirí Friml
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
citation:
ama: Kleine Vehn J, Dhonukshe P, Swarup R, Bennett M, Friml J. Subcellular trafficking
of the Arabidopsis auxin influx carrier AUX1 uses a novel pathway distinct from
PIN1. Plant Cell. 2006;18(11):3171-3181. doi:10.1105/tpc.106.042770
apa: Kleine Vehn, J., Dhonukshe, P., Swarup, R., Bennett, M., & Friml, J. (2006).
Subcellular trafficking of the Arabidopsis auxin influx carrier AUX1 uses a novel
pathway distinct from PIN1. Plant Cell. American Society of Plant Biologists.
https://doi.org/10.1105/tpc.106.042770
chicago: Kleine Vehn, Jürgen, Pankaj Dhonukshe, Ranjan Swarup, Malcolm Bennett,
and Jiří Friml. “Subcellular Trafficking of the Arabidopsis Auxin Influx Carrier
AUX1 Uses a Novel Pathway Distinct from PIN1.” Plant Cell. American Society
of Plant Biologists, 2006. https://doi.org/10.1105/tpc.106.042770.
ieee: J. Kleine Vehn, P. Dhonukshe, R. Swarup, M. Bennett, and J. Friml, “Subcellular
trafficking of the Arabidopsis auxin influx carrier AUX1 uses a novel pathway
distinct from PIN1,” Plant Cell, vol. 18, no. 11. American Society of Plant
Biologists, pp. 3171–3181, 2006.
ista: Kleine Vehn J, Dhonukshe P, Swarup R, Bennett M, Friml J. 2006. Subcellular
trafficking of the Arabidopsis auxin influx carrier AUX1 uses a novel pathway
distinct from PIN1. Plant Cell. 18(11), 3171–3181.
mla: Kleine Vehn, Jürgen, et al. “Subcellular Trafficking of the Arabidopsis Auxin
Influx Carrier AUX1 Uses a Novel Pathway Distinct from PIN1.” Plant Cell,
vol. 18, no. 11, American Society of Plant Biologists, 2006, pp. 3171–81, doi:10.1105/tpc.106.042770.
short: J. Kleine Vehn, P. Dhonukshe, R. Swarup, M. Bennett, J. Friml, Plant Cell
18 (2006) 3171–3181.
date_created: 2018-12-11T12:00:53Z
date_published: 2006-11-01T00:00:00Z
date_updated: 2021-01-12T07:40:29Z
day: '01'
doi: 10.1105/tpc.106.042770
extern: 1
intvolume: ' 18'
issue: '11'
month: '11'
page: 3171 - 3181
publication: Plant Cell
publication_status: published
publisher: American Society of Plant Biologists
publist_id: '3684'
quality_controlled: 0
status: public
title: Subcellular trafficking of the Arabidopsis auxin influx carrier AUX1 uses a
novel pathway distinct from PIN1
type: journal_article
volume: 18
year: '2006'
...
---
_id: '3020'
abstract:
- lang: eng
text: High throughput microarray transcription analyses provide us with the expression
profiles for large amounts of plant genes. However, their tissue and cellular
resolution is limited. Thus, for detailed functional analysis, it is still necessary
to examine the expression pattern of selected candidate genes at a cellular level.
Here, we present an in situ mRNA hybridization method that is routinely used for
the analysis of plant gene expression patterns. The protocol is optimized for
whole mount mRNA localizations in Arabidopsis seedling tissues including embryos,
roots, hypocotyls and young primary leaves. It can also be used for comparable
tissues in other species. Part of the protocol can also be automated and performed
by a liquid handling robot. Here we present a detailed protocol, recommended controls
and troubleshooting, along with examples of several applications. The total time
to carry out the entire procedure is ∼7 d, depending on the tissue used.
author:
- first_name: Jan
full_name: Hejátko, Jan
last_name: Hejátko
- first_name: Ikram
full_name: Blilou, Ikram
last_name: Blilou
- first_name: Philip
full_name: Brewer, Philip B
last_name: Brewer
- first_name: Jirí
full_name: Jirí Friml
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
- first_name: Ben
full_name: Scheres, Ben
last_name: Scheres
- first_name: Eva
full_name: Eva Benková
id: 38F4F166-F248-11E8-B48F-1D18A9856A87
last_name: Benková
orcid: 0000-0002-8510-9739
citation:
ama: Hejátko J, Blilou I, Brewer P, Friml J, Scheres B, Benková E. In situ hybridization
technique for mRNA detection in whole mount Arabidopsis samples. Nature Protocols.
2006;1(4):1939-1946. doi:10.1038/nprot.2006.333
apa: Hejátko, J., Blilou, I., Brewer, P., Friml, J., Scheres, B., & Benková,
E. (2006). In situ hybridization technique for mRNA detection in whole mount Arabidopsis
samples. Nature Protocols. Nature Publishing Group. https://doi.org/10.1038/nprot.2006.333
chicago: Hejátko, Jan, Ikram Blilou, Philip Brewer, Jiří Friml, Ben Scheres, and
Eva Benková. “In Situ Hybridization Technique for MRNA Detection in Whole Mount
Arabidopsis Samples.” Nature Protocols. Nature Publishing Group, 2006.
https://doi.org/10.1038/nprot.2006.333.
ieee: J. Hejátko, I. Blilou, P. Brewer, J. Friml, B. Scheres, and E. Benková, “In
situ hybridization technique for mRNA detection in whole mount Arabidopsis samples,”
Nature Protocols, vol. 1, no. 4. Nature Publishing Group, pp. 1939–1946,
2006.
ista: Hejátko J, Blilou I, Brewer P, Friml J, Scheres B, Benková E. 2006. In situ
hybridization technique for mRNA detection in whole mount Arabidopsis samples.
Nature Protocols. 1(4), 1939–1946.
mla: Hejátko, Jan, et al. “In Situ Hybridization Technique for MRNA Detection in
Whole Mount Arabidopsis Samples.” Nature Protocols, vol. 1, no. 4, Nature
Publishing Group, 2006, pp. 1939–46, doi:10.1038/nprot.2006.333.
short: J. Hejátko, I. Blilou, P. Brewer, J. Friml, B. Scheres, E. Benková, Nature
Protocols 1 (2006) 1939–1946.
date_created: 2018-12-11T12:00:54Z
date_published: 2006-11-01T00:00:00Z
date_updated: 2021-01-12T07:40:30Z
day: '01'
doi: 10.1038/nprot.2006.333
extern: 1
intvolume: ' 1'
issue: '4'
month: '11'
page: 1939 - 1946
publication: Nature Protocols
publication_status: published
publisher: Nature Publishing Group
publist_id: '3683'
quality_controlled: 0
status: public
title: In situ hybridization technique for mRNA detection in whole mount Arabidopsis
samples
type: journal_article
volume: 1
year: '2006'
...
---
_id: '2088'
abstract:
- lang: eng
text: 'We have measured 3D face geometry, skin reflectance, and subsurface scattering
using custom-built devices for 149 subjects of varying age, gender, and race.
We developed a novel skin reflectance model whose parameters can be estimated
from measurements. The model decomposes the large amount of measured skin data
into a spatially-varying analytic BRDF, a diffuse albedo map, and diffuse subsurface
scattering. Our model is intuitive, physically plausible, and - since we do not
use the original measured data - easy to edit as well. High-quality renderings
come close to reproducing real photographs. The analysis of the model parameters
for our sample population reveals variations according to subject age, gender,
skin type, and external factors (e.g., sweat, cold, or makeup). Using our statistics,
a user can edit the overall appearance of a face (e.g., changing skin type and
age) or change small-scale features using texture synthesis (e.g., adding moles
and freckles). We are making the collected statistics publicly available to the
research community for applications in face synthesis and analysis. '
acknowledgement: Henrik Wann Jensen and Craig Donner were supported by a Sloan Fellowship
and the National Science Foundation under Grant No. 0305399.
author:
- first_name: Tim
full_name: Weyrich, Tim
last_name: Weyrich
- first_name: Wojciech
full_name: Matusik, Wojciech
last_name: Matusik
- first_name: Hanspeter
full_name: Pfister, Hanspeter
last_name: Pfister
- first_name: Bernd
full_name: Bernd Bickel
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
- first_name: Craig
full_name: Donner, Craig
last_name: Donner
- first_name: Chien
full_name: Tu, Chien
last_name: Tu
- first_name: Janet
full_name: McAndless, Janet M
last_name: Mcandless
- first_name: Jinho
full_name: Lee, Jinho
last_name: Lee
- first_name: Addy
full_name: Ngan, Addy
last_name: Ngan
- first_name: Henrik
full_name: Jensen, Henrik W
last_name: Jensen
- first_name: Markus
full_name: Groß, Markus S
last_name: Groß
citation:
ama: 'Weyrich T, Matusik W, Pfister H, et al. Analysis of human faces using a measurement-based
skin reflectance model. In: ACM; 2006:1013-1024. doi:10.1145/1179352.1141987'
apa: Weyrich, T., Matusik, W., Pfister, H., Bickel, B., Donner, C., Tu, C., … Groß,
M. (2006). Analysis of human faces using a measurement-based skin reflectance
model (pp. 1013–1024). Presented at the ACM SIGGRAPH, ACM. https://doi.org/10.1145/1179352.1141987
chicago: Weyrich, Tim, Wojciech Matusik, Hanspeter Pfister, Bernd Bickel, Craig
Donner, Chien Tu, Janet Mcandless, et al. “Analysis of Human Faces Using a Measurement-Based
Skin Reflectance Model,” 1013–24. ACM, 2006. https://doi.org/10.1145/1179352.1141987.
ieee: T. Weyrich et al., “Analysis of human faces using a measurement-based
skin reflectance model,” presented at the ACM SIGGRAPH, 2006, pp. 1013–1024.
ista: Weyrich T, Matusik W, Pfister H, Bickel B, Donner C, Tu C, Mcandless J, Lee
J, Ngan A, Jensen H, Groß M. 2006. Analysis of human faces using a measurement-based
skin reflectance model. ACM SIGGRAPH, 1013–1024.
mla: Weyrich, Tim, et al. Analysis of Human Faces Using a Measurement-Based Skin
Reflectance Model. ACM, 2006, pp. 1013–24, doi:10.1145/1179352.1141987.
short: T. Weyrich, W. Matusik, H. Pfister, B. Bickel, C. Donner, C. Tu, J. Mcandless,
J. Lee, A. Ngan, H. Jensen, M. Groß, in:, ACM, 2006, pp. 1013–1024.
conference:
name: ACM SIGGRAPH
date_created: 2018-12-11T11:55:38Z
date_published: 2006-07-31T00:00:00Z
date_updated: 2021-01-12T06:55:14Z
day: '31'
doi: 10.1145/1179352.1141987
extern: 1
month: '07'
page: 1013 - 1024
publication_status: published
publisher: ACM
publist_id: '4947'
quality_controlled: 0
status: public
title: Analysis of human faces using a measurement-based skin reflectance model
type: conference
year: '2006'
...
---
_id: '2089'
abstract:
- lang: eng
text: We have measured 3D face geometry, skin reflectance, and subsurface scattering
using custom-built devices for 149 subjects of varying age, gender, and race.
We developed a novel skin reflectance model whose parameters can be estimated
from measurements. The model decomposes the large amount of measured skin data
into a spatially-varying analytic BRDF, a diffuse albedo map, and diffuse subsurface
scattering. Our model is intuitive, physically plausible, and - since we do not
use the original measured data - easy to edit as well. High-quality renderings
come close to reproducing real photographs. The analysis of the model parameters
for our sample population reveals variations according to subject age, gender,
skin type, and external factors (e.g., sweat, cold, or makeup). Using our statistics,
a user can edit the overall appearance of a face (e.g., changing skin type and
age) or change small-scale features using texture synthesis (e.g., adding moles
and freckles). We are making the collected statistics publicly available to the
research community for applications in face synthesis and analysis.
acknowledgement: 'Henrik Wann Jensen and Craig Donner were supported by a Sloan Fellowship
and the National Science Foundation under Grant No. 0305399. '
author:
- first_name: Tim
full_name: Weyrich, Tim
last_name: Weyrich
- first_name: Wojciech
full_name: Matusik, Wojciech
last_name: Matusik
- first_name: Hanspeter
full_name: Pfister, Hanspeter
last_name: Pfister
- first_name: Bernd
full_name: Bernd Bickel
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
- first_name: Craig
full_name: Donner, Craig
last_name: Donner
- first_name: Chien
full_name: Tu, Chien
last_name: Tu
- first_name: Janet
full_name: McAndless, Janet M
last_name: Mcandless
- first_name: Jinho
full_name: Lee, Jinho
last_name: Lee
- first_name: Addy
full_name: Ngan, Addy
last_name: Ngan
- first_name: Henrik
full_name: Jensen, Henrik W
last_name: Jensen
- first_name: Markus
full_name: Groß, Markus S
last_name: Groß
citation:
ama: Weyrich T, Matusik W, Pfister H, et al. Analysis of human faces using a measurement-based
skin reflectance model. ACM Transactions on Graphics. 2006;25(3):1013-1024.
doi:10.1145/1141911.1141987
apa: Weyrich, T., Matusik, W., Pfister, H., Bickel, B., Donner, C., Tu, C., … Groß,
M. (2006). Analysis of human faces using a measurement-based skin reflectance
model. ACM Transactions on Graphics. ACM. https://doi.org/10.1145/1141911.1141987
chicago: Weyrich, Tim, Wojciech Matusik, Hanspeter Pfister, Bernd Bickel, Craig
Donner, Chien Tu, Janet Mcandless, et al. “Analysis of Human Faces Using a Measurement-Based
Skin Reflectance Model.” ACM Transactions on Graphics. ACM, 2006. https://doi.org/10.1145/1141911.1141987.
ieee: T. Weyrich et al., “Analysis of human faces using a measurement-based
skin reflectance model,” ACM Transactions on Graphics, vol. 25, no. 3.
ACM, pp. 1013–1024, 2006.
ista: Weyrich T, Matusik W, Pfister H, Bickel B, Donner C, Tu C, Mcandless J, Lee
J, Ngan A, Jensen H, Groß M. 2006. Analysis of human faces using a measurement-based
skin reflectance model. ACM Transactions on Graphics. 25(3), 1013–1024.
mla: Weyrich, Tim, et al. “Analysis of Human Faces Using a Measurement-Based Skin
Reflectance Model.” ACM Transactions on Graphics, vol. 25, no. 3, ACM,
2006, pp. 1013–24, doi:10.1145/1141911.1141987.
short: T. Weyrich, W. Matusik, H. Pfister, B. Bickel, C. Donner, C. Tu, J. Mcandless,
J. Lee, A. Ngan, H. Jensen, M. Groß, ACM Transactions on Graphics 25 (2006) 1013–1024.
date_created: 2018-12-11T11:55:38Z
date_published: 2006-07-31T00:00:00Z
date_updated: 2021-01-12T06:55:14Z
day: '31'
doi: 10.1145/1141911.1141987
extern: 1
intvolume: ' 25'
issue: '3'
month: '07'
page: 1013 - 1024
publication: ACM Transactions on Graphics
publication_status: published
publisher: ACM
publist_id: '4946'
quality_controlled: 0
status: public
title: Analysis of human faces using a measurement-based skin reflectance model
type: journal_article
volume: 25
year: '2006'
...
---
_id: '2090'
author:
- first_name: Bernd
full_name: Bernd Bickel
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
- first_name: Tim
full_name: Weyrich, Tim
last_name: Weyrich
- first_name: Wojciech
full_name: Matusik, Wojciech
last_name: Matusik
- first_name: Hanspeter
full_name: Pfister, Hanspeter
last_name: Pfister
- first_name: Craig
full_name: Donner, Craig
last_name: Donner
- first_name: Chien
full_name: Tu, Chien
last_name: Tu
- first_name: Janet
full_name: McAndless, Janet M
last_name: Mcandless
- first_name: Jinho
full_name: Lee, Jinho
last_name: Lee
- first_name: Addy
full_name: Ngan, Addy
last_name: Ngan
- first_name: Henrik
full_name: Jensen, Henrik W
last_name: Jensen
- first_name: Markus
full_name: Groß, Markus S
last_name: Groß
citation:
ama: 'Bickel B, Weyrich T, Matusik W, et al. Processing and editing of faces using
a measurement-based skin reflectance model. In: ACM; 2006. doi:10.1145/1179849.1180059'
apa: 'Bickel, B., Weyrich, T., Matusik, W., Pfister, H., Donner, C., Tu, C., … Groß,
M. (2006). Processing and editing of faces using a measurement-based skin reflectance
model. Presented at the SIGGRAPH: Special Interest Group on Computer Graphics
and Interactive Techniques, ACM. https://doi.org/10.1145/1179849.1180059'
chicago: Bickel, Bernd, Tim Weyrich, Wojciech Matusik, Hanspeter Pfister, Craig
Donner, Chien Tu, Janet Mcandless, et al. “Processing and Editing of Faces Using
a Measurement-Based Skin Reflectance Model.” ACM, 2006. https://doi.org/10.1145/1179849.1180059.
ieee: 'B. Bickel et al., “Processing and editing of faces using a measurement-based
skin reflectance model,” presented at the SIGGRAPH: Special Interest Group on
Computer Graphics and Interactive Techniques, 2006.'
ista: 'Bickel B, Weyrich T, Matusik W, Pfister H, Donner C, Tu C, Mcandless J, Lee
J, Ngan A, Jensen H, Groß M. 2006. Processing and editing of faces using a measurement-based
skin reflectance model. SIGGRAPH: Special Interest Group on Computer Graphics
and Interactive Techniques.'
mla: Bickel, Bernd, et al. Processing and Editing of Faces Using a Measurement-Based
Skin Reflectance Model. ACM, 2006, doi:10.1145/1179849.1180059.
short: B. Bickel, T. Weyrich, W. Matusik, H. Pfister, C. Donner, C. Tu, J. Mcandless,
J. Lee, A. Ngan, H. Jensen, M. Groß, in:, ACM, 2006.
conference:
name: 'SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques'
date_created: 2018-12-11T11:55:39Z
date_published: 2006-07-01T00:00:00Z
date_updated: 2021-01-12T06:55:15Z
day: '01'
doi: 10.1145/1179849.1180059
extern: 1
month: '07'
publication_status: published
publisher: ACM
publist_id: '4945'
quality_controlled: 0
status: public
title: Processing and editing of faces using a measurement-based skin reflectance
model
type: conference
year: '2006'
...
---
_id: '213'
abstract:
- lang: eng
text: For any integers d,n ≥2, let X ⊂ Pn be a non‐singular hypersurface of degree
d that is defined over the rational numbers. The main result in this paper is
a proof that the number of rational points on X which have height at most B is
O(Bn − 1 + ɛ), for any ɛ > 0. The implied constant in this estimate depends
at most upon d, ɛ and n. 2000 Mathematics Subject Classification 11D45 (primary),
11G35, 14G05 (secondary).
acknowledgement: EPSRC grant number GR/R93155/01
author:
- first_name: Timothy D
full_name: Timothy Browning
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
- first_name: Jason
full_name: Starr, Jason M
last_name: Starr
citation:
ama: Browning TD, Heath Brown R, Starr J. The density of rational points on non-singular
hypersurfaces, II. Proceedings of the London Mathematical Society. 2006;93(2):273-303.
doi:https://doi.org/10.1112/S0024611506015784
apa: Browning, T. D., Heath Brown, R., & Starr, J. (2006). The density of rational
points on non-singular hypersurfaces, II. Proceedings of the London Mathematical
Society. John Wiley and Sons Ltd. https://doi.org/10.1112/S0024611506015784
chicago: Browning, Timothy D, Roger Heath Brown, and Jason Starr. “The Density of
Rational Points on Non-Singular Hypersurfaces, II.” Proceedings of the London
Mathematical Society. John Wiley and Sons Ltd, 2006. https://doi.org/10.1112/S0024611506015784.
ieee: T. D. Browning, R. Heath Brown, and J. Starr, “The density of rational points
on non-singular hypersurfaces, II,” Proceedings of the London Mathematical
Society, vol. 93, no. 2. John Wiley and Sons Ltd, pp. 273–303, 2006.
ista: Browning TD, Heath Brown R, Starr J. 2006. The density of rational points
on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society.
93(2), 273–303.
mla: Browning, Timothy D., et al. “The Density of Rational Points on Non-Singular
Hypersurfaces, II.” Proceedings of the London Mathematical Society, vol.
93, no. 2, John Wiley and Sons Ltd, 2006, pp. 273–303, doi:https://doi.org/10.1112/S0024611506015784.
short: T.D. Browning, R. Heath Brown, J. Starr, Proceedings of the London Mathematical
Society 93 (2006) 273–303.
date_created: 2018-12-11T11:45:14Z
date_published: 2006-09-01T00:00:00Z
date_updated: 2021-01-12T06:55:29Z
day: '01'
doi: https://doi.org/10.1112/S0024611506015784
extern: 1
intvolume: ' 93'
issue: '2'
month: '09'
page: 273 - 303
publication: Proceedings of the London Mathematical Society
publication_status: published
publisher: John Wiley and Sons Ltd
publist_id: '7698'
quality_controlled: 0
status: public
title: The density of rational points on non-singular hypersurfaces, II
type: journal_article
volume: 93
year: '2006'
...
---
_id: '2134'
abstract:
- lang: eng
text: Predissociation of the N+2 C 2Σ+u(v') vibrational levels with v' ≥ 3 was observed
via dispersed C 2Σ+u → X 2Σ+g fluorescence in the spectral range of 165–208 nm
after resonant 1s−1π*(vr) excitation of N2 and its subsequent autoionization into
the N+2 C state. This range is dominated by lines in atomic nitrogen, by overlapped
C 2Σ+u(v') → X 2Σ+g(v'') vibrational band sequences with Δv = const and broad
unresolved band systems (D, (2))2Πg(v') → A2Πu(v'') in the N+2 molecular ion.
With very high fluorescence resolution of about 0.1 nm FWHM individual C 2Σ+u(v')
→ X 2Σ+g(v'') vibrational bands have been resolved. Calculation of the observed
fluorescence spectra by taking into account predissociation and molecular rotation
describes well the shape of both individual vibrational bands C 2Σ+u(v') → X 2Σ+g(v'')
and the whole band system.
acknowledgement: This work has been supported by the Deutsche Forschungsgemeinschaft
(DFG) and by the Bundesministerium für Bildung und Forschung (BMBF) (Förderkennzeichen
05 ES3XBA/5 and IB/DLR RUS 02/037). The cooperation between the groups at the universities
of Kaiserslautern and Rostov-on-Don was supported by the Alexander-von-Humboldt
Foundation within the framework of an institute partnership with funds from BMBF
author:
- first_name: Arno
full_name: Ehresmann, Arno
last_name: Ehresmann
- first_name: Lutz
full_name: Werner, Lutz
last_name: Werner
- first_name: Stefan
full_name: Klumpp, Stefan
last_name: Klumpp
- first_name: Ph
full_name: Demekhin, Ph V
last_name: Demekhin
- first_name: Mikhail
full_name: Mikhail Lemeshko
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: V.
full_name: Sukhorukov, V. L
last_name: Sukhorukov
- first_name: Karl
full_name: Schartner, Karl H
last_name: Schartner
- first_name: Hans
full_name: Schmoranzer, Hans P
last_name: Schmoranzer
citation:
ama: 'Ehresmann A, Werner L, Klumpp S, et al. Predissociation of the N+2(C 2Σ+u)
state observed via C 2Σ+u → X 2Σ+g fluorescence after resonant 1s−1π* excitation
of N2 molecule. Journal of Physics B: Atomic, Molecular and Optical Physics.
2006;39(6):L119-L126. doi:10.1088/0953-4075/39/6/L03'
apa: 'Ehresmann, A., Werner, L., Klumpp, S., Demekhin, P., Lemeshko, M., Sukhorukov,
V., … Schmoranzer, H. (2006). Predissociation of the N+2(C 2Σ+u) state observed
via C 2Σ+u → X 2Σ+g fluorescence after resonant 1s−1π* excitation of N2 molecule.
Journal of Physics B: Atomic, Molecular and Optical Physics. IOP Publishing
Ltd. https://doi.org/10.1088/0953-4075/39/6/L03'
chicago: 'Ehresmann, Arno, Lutz Werner, Stefan Klumpp, Ph Demekhin, Mikhail Lemeshko,
V. Sukhorukov, Karl Schartner, and Hans Schmoranzer. “Predissociation of the N+2(C
2Σ+u) State Observed via C 2Σ+u → X 2Σ+g Fluorescence after Resonant 1s−1π* Excitation
of N2 Molecule.” Journal of Physics B: Atomic, Molecular and Optical Physics.
IOP Publishing Ltd., 2006. https://doi.org/10.1088/0953-4075/39/6/L03.'
ieee: 'A. Ehresmann et al., “Predissociation of the N+2(C 2Σ+u) state observed
via C 2Σ+u → X 2Σ+g fluorescence after resonant 1s−1π* excitation of N2 molecule,”
Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 39, no.
6. IOP Publishing Ltd., pp. L119–L126, 2006.'
ista: 'Ehresmann A, Werner L, Klumpp S, Demekhin P, Lemeshko M, Sukhorukov V, Schartner
K, Schmoranzer H. 2006. Predissociation of the N+2(C 2Σ+u) state observed via
C 2Σ+u → X 2Σ+g fluorescence after resonant 1s−1π* excitation of N2 molecule.
Journal of Physics B: Atomic, Molecular and Optical Physics. 39(6), L119–L126.'
mla: 'Ehresmann, Arno, et al. “Predissociation of the N+2(C 2Σ+u) State Observed
via C 2Σ+u → X 2Σ+g Fluorescence after Resonant 1s−1π* Excitation of N2 Molecule.”
Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 39, no.
6, IOP Publishing Ltd., 2006, pp. L119–26, doi:10.1088/0953-4075/39/6/L03.'
short: 'A. Ehresmann, L. Werner, S. Klumpp, P. Demekhin, M. Lemeshko, V. Sukhorukov,
K. Schartner, H. Schmoranzer, Journal of Physics B: Atomic, Molecular and Optical
Physics 39 (2006) L119–L126.'
date_created: 2018-12-11T11:55:54Z
date_published: 2006-03-28T00:00:00Z
date_updated: 2021-01-12T06:55:31Z
day: '28'
doi: 10.1088/0953-4075/39/6/L03
extern: 1
intvolume: ' 39'
issue: '6'
month: '03'
page: L119 - L126
publication: 'Journal of Physics B: Atomic, Molecular and Optical Physics'
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4900'
quality_controlled: 0
status: public
title: Predissociation of the N+2(C 2Σ+u) state observed via C 2Σ+u → X 2Σ+g fluorescence
after resonant 1s−1π* excitation of N2 molecule
type: journal_article
volume: 39
year: '2006'
...
---
_id: '2142'
abstract:
- lang: eng
text: Fluorescence from fragments formed after the de-excitation of the N*2(1s−1π*)
resonance has been measured in the spectral range of 135–190 nm. This range is
dominated by lines in atomic nitrogen and lines formed by overlapping C2Σ+u(v')
→ X2Σ+g(v'') bands with Δv = const in the N+2 molecular ion which result from
the spectator Auger decays of the N*2(1s−1π*(vr)) resonances. Ab initio calculations
of the corresponding potential curves and transition probabilities showed that
the observed irregular intensity dependence of the C2Σ+u(v') → X2Σ+g(v'')(Δv =
const) fluorescence lines on the vibrational quantum number vr is due to transitions
between vibrational levels during the reaction N2(v0 = 0)→ N*2(1s−1π*(vr)) Longrightarrow
C2Σ+u(v') → X2Σ+g(v'').
author:
- first_name: Arno
full_name: Ehresmann, Arno
last_name: Ehresmann
- first_name: Lutz
full_name: Werner, Lutz
last_name: Werner
- first_name: Stefan
full_name: Klumpp, Stefan
last_name: Klumpp
- first_name: S
full_name: Lucht, S
last_name: Lucht
- first_name: Hans
full_name: Schmoranzer, Hans P
last_name: Schmoranzer
- first_name: Sascha
full_name: Mickat, Sascha
last_name: Mickat
- first_name: Rüdiger
full_name: Schill, Rüdiger H
last_name: Schill
- first_name: Karl
full_name: Schartner, Karl H
last_name: Schartner
- first_name: Philipp
full_name: Demekhin, Philipp
last_name: Demekhin
- first_name: Mikhail
full_name: Mikhail Lemeshko
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Victor
full_name: Sukhorukov, Victor L
last_name: Sukhorukov
citation:
ama: 'Ehresmann A, Werner L, Klumpp S, et al. Studying the N+2(C2Σ+u → X2Σ+g) fluorescence
excited via the 1s−1π* resonance. Journal of Physics B: Atomic, Molecular and
Optical Physics. 2006;39(2):283-304. doi:10.1088/0953-4075/39/2/006'
apa: 'Ehresmann, A., Werner, L., Klumpp, S., Lucht, S., Schmoranzer, H., Mickat,
S., … Sukhorukov, V. (2006). Studying the N+2(C2Σ+u → X2Σ+g) fluorescence excited
via the 1s−1π* resonance. Journal of Physics B: Atomic, Molecular and Optical
Physics. IOP Publishing Ltd. https://doi.org/10.1088/0953-4075/39/2/006'
chicago: 'Ehresmann, Arno, Lutz Werner, Stefan Klumpp, S Lucht, Hans Schmoranzer,
Sascha Mickat, Rüdiger Schill, et al. “Studying the N+2(C2Σ+u → X2Σ+g) Fluorescence
Excited via the 1s−1π* Resonance.” Journal of Physics B: Atomic, Molecular
and Optical Physics. IOP Publishing Ltd., 2006. https://doi.org/10.1088/0953-4075/39/2/006.'
ieee: 'A. Ehresmann et al., “Studying the N+2(C2Σ+u → X2Σ+g) fluorescence
excited via the 1s−1π* resonance,” Journal of Physics B: Atomic, Molecular
and Optical Physics, vol. 39, no. 2. IOP Publishing Ltd., pp. 283–304, 2006.'
ista: 'Ehresmann A, Werner L, Klumpp S, Lucht S, Schmoranzer H, Mickat S, Schill
R, Schartner K, Demekhin P, Lemeshko M, Sukhorukov V. 2006. Studying the N+2(C2Σ+u
→ X2Σ+g) fluorescence excited via the 1s−1π* resonance. Journal of Physics B:
Atomic, Molecular and Optical Physics. 39(2), 283–304.'
mla: 'Ehresmann, Arno, et al. “Studying the N+2(C2Σ+u → X2Σ+g) Fluorescence Excited
via the 1s−1π* Resonance.” Journal of Physics B: Atomic, Molecular and Optical
Physics, vol. 39, no. 2, IOP Publishing Ltd., 2006, pp. 283–304, doi:10.1088/0953-4075/39/2/006.'
short: 'A. Ehresmann, L. Werner, S. Klumpp, S. Lucht, H. Schmoranzer, S. Mickat,
R. Schill, K. Schartner, P. Demekhin, M. Lemeshko, V. Sukhorukov, Journal of Physics
B: Atomic, Molecular and Optical Physics 39 (2006) 283–304.'
date_created: 2018-12-11T11:55:57Z
date_published: 2006-01-28T00:00:00Z
date_updated: 2021-01-12T06:55:34Z
day: '28'
doi: 10.1088/0953-4075/39/2/006
extern: 1
intvolume: ' 39'
issue: '2'
month: '01'
page: 283 - 304
publication: 'Journal of Physics B: Atomic, Molecular and Optical Physics'
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4882'
quality_controlled: 0
status: public
title: Studying the N+2(C2Σ+u → X2Σ+g) fluorescence excited via the 1s−1π* resonance
type: journal_article
volume: 39
year: '2006'
...
---
_id: '2144'
abstract:
- lang: eng
text: 'Temperature dependent preedge and extended x-ray absorption fine structure
measurements at the Zr K edge for the perovskite-type zirconates Pb Zr0.515 Ti0.485
O3 (PZT), PbZr O3 (PZ), and BaZr O3 are performed. To carry out a more accurate
study of the weak reconstruction of the local atomic structure we employed a combination
of two techniques: (i) analysis of the preedge fine structure, and (ii) analysis
of the Fourier transform of the difference between χ (k) functions obtained at
different temperatures. A detailed investigation of local atomic structure in
the cubic phase for all the crystals is also performed. It is shown that neither
the displacive nor the order-disorder model can describe correctly the changes
of local atomic structure during phase transitions in PZ and PZT. A spherical
model describing the local atomic structure of perovskite-type crystals suffering
structural phase transitions is proposed.'
acknowledgement: The studies were supported by the Russian Ministry of Science and
Education Grant No. R662. E.N. acknowledges partial support from the French Government
*CNOUS.
author:
- first_name: Rostislav
full_name: Vedrinskiǐ, Rostislav V
last_name: Vedrinskiǐ
- first_name: Elena
full_name: Nazarenko, Elena S
last_name: Nazarenko
- first_name: Mikhail
full_name: Mikhail Lemeshko
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Vivian
full_name: Nassif, Vivian M
last_name: Nassif
- first_name: Olivier
full_name: Proux, Olivier
last_name: Proux
- first_name: Alexander
full_name: Novakovich, Alexander A
last_name: Novakovich
- first_name: Yves
full_name: Joly, Yves
last_name: Joly
citation:
ama: Vedrinskiǐ R, Nazarenko E, Lemeshko M, et al. Temperature dependent XAFS studies
of local atomic structure of the perovskite-type zirconates. Physical Review
B - Condensed Matter and Materials Physics. 2006;73(13). doi:10.1103/PhysRevB.73.134109
apa: Vedrinskiǐ, R., Nazarenko, E., Lemeshko, M., Nassif, V., Proux, O., Novakovich,
A., & Joly, Y. (2006). Temperature dependent XAFS studies of local atomic
structure of the perovskite-type zirconates. Physical Review B - Condensed
Matter and Materials Physics. American Physical Society. https://doi.org/10.1103/PhysRevB.73.134109
chicago: Vedrinskiǐ, Rostislav, Elena Nazarenko, Mikhail Lemeshko, Vivian Nassif,
Olivier Proux, Alexander Novakovich, and Yves Joly. “Temperature Dependent XAFS
Studies of Local Atomic Structure of the Perovskite-Type Zirconates.” Physical
Review B - Condensed Matter and Materials Physics. American Physical Society,
2006. https://doi.org/10.1103/PhysRevB.73.134109.
ieee: R. Vedrinskiǐ et al., “Temperature dependent XAFS studies of local
atomic structure of the perovskite-type zirconates,” Physical Review B - Condensed
Matter and Materials Physics, vol. 73, no. 13. American Physical Society,
2006.
ista: Vedrinskiǐ R, Nazarenko E, Lemeshko M, Nassif V, Proux O, Novakovich A, Joly
Y. 2006. Temperature dependent XAFS studies of local atomic structure of the perovskite-type
zirconates. Physical Review B - Condensed Matter and Materials Physics. 73(13).
mla: Vedrinskiǐ, Rostislav, et al. “Temperature Dependent XAFS Studies of Local
Atomic Structure of the Perovskite-Type Zirconates.” Physical Review B - Condensed
Matter and Materials Physics, vol. 73, no. 13, American Physical Society,
2006, doi:10.1103/PhysRevB.73.134109.
short: R. Vedrinskiǐ, E. Nazarenko, M. Lemeshko, V. Nassif, O. Proux, A. Novakovich,
Y. Joly, Physical Review B - Condensed Matter and Materials Physics 73 (2006).
date_created: 2018-12-11T11:55:58Z
date_published: 2006-04-17T00:00:00Z
date_updated: 2021-01-12T06:55:34Z
day: '17'
doi: 10.1103/PhysRevB.73.134109
extern: 1
intvolume: ' 73'
issue: '13'
month: '04'
publication: Physical Review B - Condensed Matter and Materials Physics
publication_status: published
publisher: American Physical Society
publist_id: '4881'
quality_controlled: 0
status: public
title: Temperature dependent XAFS studies of local atomic structure of the perovskite-type
zirconates
type: journal_article
volume: 73
year: '2006'
...
---
_id: '215'
abstract:
- lang: eng
text: For any n≥3, let F ∈ Z[X0,...,Xn ] be a form of degree d *≥5 that defines
a non-singular hypersurface X ⊂ Pn . The main result in this paper is a proof
of the fact that the number N (F ; B) of Q-rational points on X which have height
at most B satisfiesN (F ; B) = Od,ε,n (Bn −1+ε ), for any ε > 0. The implied
constant in this estimate depends at most upon d, ε and n. New estimates are also
obtained for the number of representations of a positive integer as the sum of
three dth powers, and for the paucity of integer solutions to equal sums of like
polynomials.*
author:
- first_name: Timothy D
full_name: Timothy Browning
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. The density of rational points on non-singular
hypersurfaces, I. Bulletin of the London Mathematical Society. 2006;38(3):401-410.
doi:10.1112/S0024609305018412
apa: Browning, T. D., & Heath Brown, R. (2006). The density of rational points
on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society.
Wiley-Blackwell. https://doi.org/10.1112/S0024609305018412
chicago: Browning, Timothy D, and Roger Heath Brown. “The Density of Rational Points
on Non-Singular Hypersurfaces, I.” Bulletin of the London Mathematical Society.
Wiley-Blackwell, 2006. https://doi.org/10.1112/S0024609305018412.
ieee: T. D. Browning and R. Heath Brown, “The density of rational points on non-singular
hypersurfaces, I,” Bulletin of the London Mathematical Society, vol. 38,
no. 3. Wiley-Blackwell, pp. 401–410, 2006.
ista: Browning TD, Heath Brown R. 2006. The density of rational points on non-singular
hypersurfaces, I. Bulletin of the London Mathematical Society. 38(3), 401–410.
mla: Browning, Timothy D., and Roger Heath Brown. “The Density of Rational Points
on Non-Singular Hypersurfaces, I.” Bulletin of the London Mathematical Society,
vol. 38, no. 3, Wiley-Blackwell, 2006, pp. 401–10, doi:10.1112/S0024609305018412.
short: T.D. Browning, R. Heath Brown, Bulletin of the London Mathematical Society
38 (2006) 401–410.
date_created: 2018-12-11T11:45:15Z
date_published: 2006-12-23T00:00:00Z
date_updated: 2021-01-12T06:55:36Z
day: '23'
doi: 10.1112/S0024609305018412
extern: 1
intvolume: ' 38'
issue: '3'
month: '12'
page: 401 - 410
publication: Bulletin of the London Mathematical Society
publication_status: published
publisher: Wiley-Blackwell
publist_id: '7697'
quality_controlled: 0
status: public
title: The density of rational points on non-singular hypersurfaces, I
type: journal_article
volume: 38
year: '2006'
...
---
_id: '216'
abstract:
- lang: eng
text: For any N ≥ 2, let Z ⊂ ℙN be a geometrically integral algebraic variety of
degree d. This article is concerned with the number Nz(B) of ℚ-rational points
on Z which have height at most B. For any ε > 0, we establish the estimate
NZ(B) = O d,ε,N(Bdim Z+ε), provided that d ≥ 6. As indicated, the implied constant
depends at most on d, ε, and N.
author:
- first_name: Timothy D
full_name: Timothy Browning
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
- first_name: Per
full_name: Salberger, Per
last_name: Salberger
citation:
ama: Browning TD, Heath Brown R, Salberger P. Counting rational points on algebraic
varieties. Duke Mathematical Journal. 2006;132(3):545-578. doi:10.1215/S0012-7094-06-13236-2
apa: Browning, T. D., Heath Brown, R., & Salberger, P. (2006). Counting rational
points on algebraic varieties. Duke Mathematical Journal. Unknown. https://doi.org/10.1215/S0012-7094-06-13236-2
chicago: Browning, Timothy D, Roger Heath Brown, and Per Salberger. “Counting Rational
Points on Algebraic Varieties.” Duke Mathematical Journal. Unknown, 2006.
https://doi.org/10.1215/S0012-7094-06-13236-2.
ieee: T. D. Browning, R. Heath Brown, and P. Salberger, “Counting rational points
on algebraic varieties,” Duke Mathematical Journal, vol. 132, no. 3. Unknown,
pp. 545–578, 2006.
ista: Browning TD, Heath Brown R, Salberger P. 2006. Counting rational points on
algebraic varieties. Duke Mathematical Journal. 132(3), 545–578.
mla: Browning, Timothy D., et al. “Counting Rational Points on Algebraic Varieties.”
Duke Mathematical Journal, vol. 132, no. 3, Unknown, 2006, pp. 545–78,
doi:10.1215/S0012-7094-06-13236-2.
short: T.D. Browning, R. Heath Brown, P. Salberger, Duke Mathematical Journal 132
(2006) 545–578.
date_created: 2018-12-11T11:45:15Z
date_published: 2006-04-15T00:00:00Z
date_updated: 2021-01-12T06:55:41Z
day: '15'
doi: 10.1215/S0012-7094-06-13236-2
extern: 1
intvolume: ' 132'
issue: '3'
month: '04'
page: 545 - 578
publication: Duke Mathematical Journal
publication_status: published
publisher: Unknown
publist_id: '7696'
quality_controlled: 0
status: public
title: Counting rational points on algebraic varieties
type: journal_article
volume: 132
year: '2006'
...
---
_id: '218'
abstract:
- lang: eng
text: This paper is concerned with the average order of certain arithmetic functions,
as they range over the values taken by binary forms.
author:
- first_name: Régis
full_name: de la Bretèche, Régis
last_name: De La Bretèche
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
citation:
ama: De La Bretèche R, Browning TD. Sums of arithmetic functions over values of
binary forms. Acta Arithmetica. 2006;125(3):291-304. doi:10.4064/aa125-3-6
apa: De La Bretèche, R., & Browning, T. D. (2006). Sums of arithmetic functions
over values of binary forms. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa125-3-6
chicago: De La Bretèche, Régis, and Timothy D Browning. “Sums of Arithmetic Functions
over Values of Binary Forms.” Acta Arithmetica. Instytut Matematyczny,
2006. https://doi.org/10.4064/aa125-3-6.
ieee: R. De La Bretèche and T. D. Browning, “Sums of arithmetic functions over values
of binary forms,” Acta Arithmetica, vol. 125, no. 3. Instytut Matematyczny,
pp. 291–304, 2006.
ista: De La Bretèche R, Browning TD. 2006. Sums of arithmetic functions over values
of binary forms. Acta Arithmetica. 125(3), 291–304.
mla: De La Bretèche, Régis, and Timothy D. Browning. “Sums of Arithmetic Functions
over Values of Binary Forms.” Acta Arithmetica, vol. 125, no. 3, Instytut
Matematyczny, 2006, pp. 291–304, doi:10.4064/aa125-3-6.
short: R. De La Bretèche, T.D. Browning, Acta Arithmetica 125 (2006) 291–304.
date_created: 2018-12-11T11:45:16Z
date_published: 2006-01-01T00:00:00Z
date_updated: 2021-01-12T06:55:49Z
day: '01'
doi: 10.4064/aa125-3-6
extern: 1
intvolume: ' 125'
issue: '3'
month: '01'
page: 291 - 304
publication: Acta Arithmetica
publication_status: published
publisher: Instytut Matematyczny
publist_id: '7694'
quality_controlled: 0
status: public
title: Sums of arithmetic functions over values of binary forms
type: journal_article
volume: 125
year: '2006'
...
---
_id: '13428'
abstract:
- lang: eng
text: Mixtures of oppositely charged nanoparticles of various sizes and charge ratios
precipitate only at the point of electroneutrality. This phenomenonspecific to
the nanoscale and reminiscent of threshold precipitation of ionsis a consequence
of the formation of core-and-shell nanoparticle aggregates, in which the shells
are composed of like-charged particles and are stabilized by efficient electrostatic
screening.
article_processing_charge: No
article_type: original
author:
- first_name: Alexander M.
full_name: Kalsin, Alexander M.
last_name: Kalsin
- first_name: Bartlomiej
full_name: Kowalczyk, Bartlomiej
last_name: Kowalczyk
- first_name: Stoyan K.
full_name: Smoukov, Stoyan K.
last_name: Smoukov
- first_name: Rafal
full_name: Klajn, Rafal
id: 8e84690e-1e48-11ed-a02b-a1e6fb8bb53b
last_name: Klajn
- first_name: Bartosz A.
full_name: Grzybowski, Bartosz A.
last_name: Grzybowski
citation:
ama: Kalsin AM, Kowalczyk B, Smoukov SK, Klajn R, Grzybowski BA. Ionic-like behavior
of oppositely charged nanoparticles. Journal of the American Chemical Society.
2006;128(47):15046-15047. doi:10.1021/ja0642966
apa: Kalsin, A. M., Kowalczyk, B., Smoukov, S. K., Klajn, R., & Grzybowski,
B. A. (2006). Ionic-like behavior of oppositely charged nanoparticles. Journal
of the American Chemical Society. American Chemical Society. https://doi.org/10.1021/ja0642966
chicago: Kalsin, Alexander M., Bartlomiej Kowalczyk, Stoyan K. Smoukov, Rafal Klajn,
and Bartosz A. Grzybowski. “Ionic-like Behavior of Oppositely Charged Nanoparticles.”
Journal of the American Chemical Society. American Chemical Society, 2006.
https://doi.org/10.1021/ja0642966.
ieee: A. M. Kalsin, B. Kowalczyk, S. K. Smoukov, R. Klajn, and B. A. Grzybowski,
“Ionic-like behavior of oppositely charged nanoparticles,” Journal of the American
Chemical Society, vol. 128, no. 47. American Chemical Society, pp. 15046–15047,
2006.
ista: Kalsin AM, Kowalczyk B, Smoukov SK, Klajn R, Grzybowski BA. 2006. Ionic-like
behavior of oppositely charged nanoparticles. Journal of the American Chemical
Society. 128(47), 15046–15047.
mla: Kalsin, Alexander M., et al. “Ionic-like Behavior of Oppositely Charged Nanoparticles.”
Journal of the American Chemical Society, vol. 128, no. 47, American Chemical
Society, 2006, pp. 15046–47, doi:10.1021/ja0642966.
short: A.M. Kalsin, B. Kowalczyk, S.K. Smoukov, R. Klajn, B.A. Grzybowski, Journal
of the American Chemical Society 128 (2006) 15046–15047.
date_created: 2023-08-01T10:36:27Z
date_published: 2006-11-29T00:00:00Z
date_updated: 2023-08-08T11:30:06Z
day: '29'
doi: 10.1021/ja0642966
extern: '1'
external_id:
pmid:
- '17117829'
intvolume: ' 128'
issue: '47'
keyword:
- Colloid and Surface Chemistry
- Biochemistry
- General Chemistry
- Catalysis
language:
- iso: eng
month: '11'
oa_version: None
page: 15046-15047
pmid: 1
publication: Journal of the American Chemical Society
publication_identifier:
eissn:
- 1520-5126
issn:
- 0002-7863
publication_status: published
publisher: American Chemical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ionic-like behavior of oppositely charged nanoparticles
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 128
year: '2006'
...
---
_id: '13429'
abstract:
- lang: eng
text: 'The fruitful core: Organic syntheses reported in the literature from 1850
to 2004 are analyzed with mathematical tools from network theory and statistical
physics. There is a set of substances (the core) from which the majority of other
organic compounds can be made (see picture; red: core, blue: periphery, green:
islands). Search algorithms are used to identify small optimal sets of maximally
useful chemicals.'
article_processing_charge: No
article_type: original
author:
- first_name: Kyle J. M.
full_name: Bishop, Kyle J. M.
last_name: Bishop
- first_name: Rafal
full_name: Klajn, Rafal
id: 8e84690e-1e48-11ed-a02b-a1e6fb8bb53b
last_name: Klajn
- first_name: Bartosz A.
full_name: Grzybowski, Bartosz A.
last_name: Grzybowski
citation:
ama: Bishop KJM, Klajn R, Grzybowski BA. The core and most useful molecules in organic
chemistry. Angewandte Chemie International Edition. 2006;45(32):5348-5354.
doi:10.1002/anie.200600881
apa: Bishop, K. J. M., Klajn, R., & Grzybowski, B. A. (2006). The core and most
useful molecules in organic chemistry. Angewandte Chemie International Edition.
Wiley. https://doi.org/10.1002/anie.200600881
chicago: Bishop, Kyle J. M., Rafal Klajn, and Bartosz A. Grzybowski. “The Core and
Most Useful Molecules in Organic Chemistry.” Angewandte Chemie International
Edition. Wiley, 2006. https://doi.org/10.1002/anie.200600881.
ieee: K. J. M. Bishop, R. Klajn, and B. A. Grzybowski, “The core and most useful
molecules in organic chemistry,” Angewandte Chemie International Edition,
vol. 45, no. 32. Wiley, pp. 5348–5354, 2006.
ista: Bishop KJM, Klajn R, Grzybowski BA. 2006. The core and most useful molecules
in organic chemistry. Angewandte Chemie International Edition. 45(32), 5348–5354.
mla: Bishop, Kyle J. M., et al. “The Core and Most Useful Molecules in Organic Chemistry.”
Angewandte Chemie International Edition, vol. 45, no. 32, Wiley, 2006,
pp. 5348–54, doi:10.1002/anie.200600881.
short: K.J.M. Bishop, R. Klajn, B.A. Grzybowski, Angewandte Chemie International
Edition 45 (2006) 5348–5354.
date_created: 2023-08-01T10:37:16Z
date_published: 2006-08-11T00:00:00Z
date_updated: 2023-08-08T11:31:27Z
day: '11'
doi: 10.1002/anie.200600881
extern: '1'
external_id:
pmid:
- '16835857'
intvolume: ' 45'
issue: '32'
keyword:
- General Chemistry
- Catalysis
language:
- iso: eng
month: '08'
oa_version: None
page: 5348-5354
pmid: 1
publication: Angewandte Chemie International Edition
publication_identifier:
eissn:
- 1521-3773
issn:
- 1433-7851
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: The core and most useful molecules in organic chemistry
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 45
year: '2006'
...
---
_id: '13430'
abstract:
- lang: eng
text: Dynamic self-assembly (DySA) processes occurring outside of thermodynamic
equilibrium underlie many forms of adaptive and intellligent behaviors in natural
systems. Relatively little, however, is known about the principles that govern
DySA and the ways in which it can be extended to artificial ensembles. This article
discusses recent advances in both the theory and the practice of nonequilibrium
self-assembly. It is argued that a union of ideas from thermodynamics and dynamic
systems' theory can provide a general description of DySA. In parallel, heuristic
design rules can be used to construct DySA systems of increasing complexities
based on a variety of suitable interactions/potentials on length scales from nanoscopic
to macroscopic. Applications of these rules to magnetohydrodynamic DySA are also
discussed.
article_processing_charge: No
article_type: original
author:
- first_name: Marcin
full_name: Fialkowski, Marcin
last_name: Fialkowski
- first_name: Kyle J. M.
full_name: Bishop, Kyle J. M.
last_name: Bishop
- first_name: Rafal
full_name: Klajn, Rafal
id: 8e84690e-1e48-11ed-a02b-a1e6fb8bb53b
last_name: Klajn
- first_name: Stoyan K.
full_name: Smoukov, Stoyan K.
last_name: Smoukov
- first_name: Christopher J.
full_name: Campbell, Christopher J.
last_name: Campbell
- first_name: Bartosz A.
full_name: Grzybowski, Bartosz A.
last_name: Grzybowski
citation:
ama: Fialkowski M, Bishop KJM, Klajn R, Smoukov SK, Campbell CJ, Grzybowski BA.
Principles and implementations of dissipative (dynamic) self-assembly. The
Journal of Physical Chemistry B. 2006;110(6):2482-2496. doi:10.1021/jp054153q
apa: Fialkowski, M., Bishop, K. J. M., Klajn, R., Smoukov, S. K., Campbell, C. J.,
& Grzybowski, B. A. (2006). Principles and implementations of dissipative
(dynamic) self-assembly. The Journal of Physical Chemistry B. American
Chemical Society. https://doi.org/10.1021/jp054153q
chicago: Fialkowski, Marcin, Kyle J. M. Bishop, Rafal Klajn, Stoyan K. Smoukov,
Christopher J. Campbell, and Bartosz A. Grzybowski. “Principles and Implementations
of Dissipative (Dynamic) Self-Assembly.” The Journal of Physical Chemistry
B. American Chemical Society, 2006. https://doi.org/10.1021/jp054153q.
ieee: M. Fialkowski, K. J. M. Bishop, R. Klajn, S. K. Smoukov, C. J. Campbell, and
B. A. Grzybowski, “Principles and implementations of dissipative (dynamic) self-assembly,”
The Journal of Physical Chemistry B, vol. 110, no. 6. American Chemical
Society, pp. 2482–2496, 2006.
ista: Fialkowski M, Bishop KJM, Klajn R, Smoukov SK, Campbell CJ, Grzybowski BA.
2006. Principles and implementations of dissipative (dynamic) self-assembly. The
Journal of Physical Chemistry B. 110(6), 2482–2496.
mla: Fialkowski, Marcin, et al. “Principles and Implementations of Dissipative (Dynamic)
Self-Assembly.” The Journal of Physical Chemistry B, vol. 110, no. 6, American
Chemical Society, 2006, pp. 2482–96, doi:10.1021/jp054153q.
short: M. Fialkowski, K.J.M. Bishop, R. Klajn, S.K. Smoukov, C.J. Campbell, B.A.
Grzybowski, The Journal of Physical Chemistry B 110 (2006) 2482–2496.
date_created: 2023-08-01T10:37:35Z
date_published: 2006-01-25T00:00:00Z
date_updated: 2023-08-08T11:33:08Z
day: '25'
doi: 10.1021/jp054153q
extern: '1'
external_id:
pmid:
- '16471845'
intvolume: ' 110'
issue: '6'
keyword:
- Materials Chemistry
- Surfaces
- Coatings and Films
- Physical and Theoretical Chemistry
language:
- iso: eng
month: '01'
oa_version: None
page: 2482-2496
pmid: 1
publication: The Journal of Physical Chemistry B
publication_identifier:
issn:
- 1520-6106
- 1520-5207
publication_status: published
publisher: American Chemical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Principles and implementations of dissipative (dynamic) self-assembly
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 110
year: '2006'
...
---
_id: '1461'
abstract:
- lang: eng
text: This note proves combinatorially that the intersection pairing on the middle-dimensional
compactly supported cohomology of a toric hyperkähler variety is always definite,
providing a large number of non-trivial L 2 harmonic forms for toric hyperkähler
metrics on these varieties. This is motivated by a result of Hitchin about the
definiteness of the pairing of L 2 harmonic forms on complete hyperkähler manifolds
of linear growth.
acknowledgement: The first author was partly supported by NSF grant DMS-0072675. The
second author was partly supported by a VIGRE postdoc under NSF grant number 9983660
to Cornell University.
author:
- first_name: Tamas
full_name: Tamas Hausel
id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
last_name: Hausel
- first_name: Edward
full_name: Swartz, Edward
last_name: Swartz
citation:
ama: Hausel T, Swartz E. Intersection forms of toric hyperkähler varieties. Proceedings
of the American Mathematical Society. 2006;134(8):2403-2409. doi:10.1090/S0002-9939-06-08248-7
apa: Hausel, T., & Swartz, E. (2006). Intersection forms of toric hyperkähler
varieties. Proceedings of the American Mathematical Society. American Mathematical
Society. https://doi.org/10.1090/S0002-9939-06-08248-7
chicago: Hausel, Tamás, and Edward Swartz. “Intersection Forms of Toric Hyperkähler
Varieties.” Proceedings of the American Mathematical Society. American
Mathematical Society, 2006. https://doi.org/10.1090/S0002-9939-06-08248-7.
ieee: T. Hausel and E. Swartz, “Intersection forms of toric hyperkähler varieties,”
Proceedings of the American Mathematical Society, vol. 134, no. 8. American
Mathematical Society, pp. 2403–2409, 2006.
ista: Hausel T, Swartz E. 2006. Intersection forms of toric hyperkähler varieties.
Proceedings of the American Mathematical Society. 134(8), 2403–2409.
mla: Hausel, Tamás, and Edward Swartz. “Intersection Forms of Toric Hyperkähler
Varieties.” Proceedings of the American Mathematical Society, vol. 134,
no. 8, American Mathematical Society, 2006, pp. 2403–09, doi:10.1090/S0002-9939-06-08248-7.
short: T. Hausel, E. Swartz, Proceedings of the American Mathematical Society 134
(2006) 2403–2409.
date_created: 2018-12-11T11:52:09Z
date_published: 2006-08-01T00:00:00Z
date_updated: 2021-01-12T06:50:54Z
day: '01'
doi: 10.1090/S0002-9939-06-08248-7
extern: 1
intvolume: ' 134'
issue: '8'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math/0306369
month: '08'
oa: 1
page: 2403 - 2409
publication: Proceedings of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society
publist_id: '5733'
quality_controlled: 0
status: public
title: Intersection forms of toric hyperkähler varieties
type: journal_article
volume: 134
year: '2006'
...