article published yes Lorenzo Dello Schiavo author ECEBF480-9E4F-11EA-B557-B0823DDC885E0000-0002-9881-6870 Kohei Suzuki author JaMa department Taming Complexity in Partial Differential Systems project Optimal Transport and Stochastic Dynamics project We extensively discuss the Rademacher and Sobolev-to-Lipschitz properties for generalized intrinsic distances on strongly local Dirichlet spaces possibly without square field operator. We present many non-smooth and infinite-dimensional examples. As an application, we prove the integral Varadhan short-time asymptotic with respect to a given distance function for a large class of strongly local Dirichlet forms. Elsevier2021 eng 0022-1236 1096-0783 2008.01492 00070389660000510.1016/j.jfa.2021.109234 28111 L. Dello Schiavo, K. Suzuki, Journal of Functional Analysis 281 (2021). Dello Schiavo, Lorenzo, and Kohei Suzuki. “Rademacher-Type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces.” <i>Journal of Functional Analysis</i>. Elsevier, 2021. <a href="https://doi.org/10.1016/j.jfa.2021.109234">https://doi.org/10.1016/j.jfa.2021.109234</a>. L. Dello Schiavo and K. Suzuki, “Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces,” <i>Journal of Functional Analysis</i>, vol. 281, no. 11. Elsevier, 2021. Dello Schiavo, L., &#38; Suzuki, K. (2021). Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces. <i>Journal of Functional Analysis</i>. Elsevier. <a href="https://doi.org/10.1016/j.jfa.2021.109234">https://doi.org/10.1016/j.jfa.2021.109234</a> Dello Schiavo, Lorenzo, and Kohei Suzuki. “Rademacher-Type Theorems and Sobolev-to-Lipschitz Properties for Strongly Local Dirichlet Spaces.” <i>Journal of Functional Analysis</i>, vol. 281, no. 11, 109234, Elsevier, 2021, doi:<a href="https://doi.org/10.1016/j.jfa.2021.109234">10.1016/j.jfa.2021.109234</a>. Dello Schiavo L, Suzuki K. 2021. Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces. Journal of Functional Analysis. 281(11), 109234. Dello Schiavo L, Suzuki K. Rademacher-type theorems and Sobolev-to-Lipschitz properties for strongly local Dirichlet spaces. <i>Journal of Functional Analysis</i>. 2021;281(11). doi:<a href="https://doi.org/10.1016/j.jfa.2021.109234">10.1016/j.jfa.2021.109234</a> 100702021-10-03T22:01:21Z2025-04-14T07:27:45Z