Huang, Shenglin, Zequn, Zequn, Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Zimmer, Johannes and Reina, Celia
2025.
Statistical-Physics-Informed Neural Networks (Stat-PINNs): A machine learning strategy for coarse-graining dissipative dynamics.
Journal of the Mechanics and Physics of Solids
194
, 105908.
10.1016/j.jmps.2024.105908
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Citti, G., Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Dragoni, Federica ORCID: https://orcid.org/0000-0001-6076-9725 and Grande, R.
2024.
Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group.
[Online].
arXiv:
Cornell University.
Available at: https://arxiv.org/abs/2411.15814
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Cardaliaguet, Pierre, Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367 and Souganidis, Panagiotis E.
2022.
Scaling limits and stochastic homogenization for some nonlinear parabolic equations.
Journal of Differential Equations
307
, pp. 389-443.
10.1016/j.jde.2021.10.057
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Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Grillmeier, Hubertus and Grün, Guenther
2021.
On stochastic porous-medium equations with critical-growth conservative multiplicative noise.
Discrete and Continuous Dynamical Systems - Series A
41
(6)
, pp. 2829-2871.
10.3934/dcds.2020388
|
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Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Dragoni, Federica ORCID: https://orcid.org/0000-0001-6076-9725 and Grande, Raffaele
2021.
Asymptotics for optimal controls for horizontal mean curvature flow.
Nonlinear Analysis
202
, 112076.
10.1016/j.na.2020.112076
|
|
Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Dragoni, Federica ORCID: https://orcid.org/0000-0001-6076-9725, Mannucci, Paola and Marchi, Claudio
2020.
Gamma-convergence and homogenisation for a class of degenerate functionals.
Nonlinear Analysis
190
, 111618.
10.1016/j.na.2019.111618
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Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Dragoni, Federica ORCID: https://orcid.org/0000-0001-6076-9725 and Grande, Raffaele
2020.
Asymptotics for optimal controls for horizontal mean curvature flow.
[Online].
arXiv.
Available at: https://arxiv.org/abs/2005.10599
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Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367 and Nguyen, Vinh Duc
2019.
Some new results on Lipschitz regularization for parabolic equations.
Journal of Evolution Equations
19
(4)
, pp. 1149-1166.
10.1007/s00028-019-00512-w
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|
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Li, Xiaoguai, Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Embacher, Peter, Zimmer, Johannes and Reina, Celia
2019.
Harnessing fluctuations to discover dissipative evolution equations.
Journal of the Mechanics and Physics of Solids
131
, pp. 240-251.
10.1016/j.jmps.2019.05.017
|
|
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Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Dragoni, Federica ORCID: https://orcid.org/0000-0001-6076-9725, Mannucci, Paola and Marchi, Claudio
2018.
Stochastic homogenization for functionals with anisotropic rescaling and noncoercive Hamilton--Jacobi equations.
SIAM Journal on Mathematical Analysis
50
(5)
, pp. 5198-5242.
10.1137/17M1144428
|
|
|
Embacher, Peter, Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Zimmer, Johannes and Reina, Celia
2018.
Computing diffusivities from particle models out of equilibrium.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
474
(2212)
, 0694.
10.1098/rspa.2017.0694
|
|
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Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367, Stamatakis, Marios G. and Zimmer, Johannes
2017.
Hydrodynamic limit of condensing two-species zero range processes with sub-critical initial profiles.
Journal of Statistical Physics
168
(4)
, pp. 794-825.
10.1007/s10955-017-1827-6
|
|
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Birmpa, P., Dirr, N. ORCID: https://orcid.org/0000-0003-3634-7367 and Tsagkarogiannis, D.
2017.
Large deviations for the macroscopic motion of an interface.
Journal of Statistical Physics
166
, pp. 1163-1192.
10.1007/s10955-017-1720-3
|
|
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Cesaroni, Annalisa, Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367 and Novaga, Matteo
2017.
Homogenization of a semilinear heat equation.
Journal de l'École polytechnique — Mathématiques
4
, pp. 633-660.
|
|
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Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Stamatakis, Marios and Zimmer, Johannes
2016.
Entropic and gradient flow formulations for nonlinear diffusion.
Journal of Mathematical Physics
57
, 081505.
10.1063/1.4960748
|
|
|
Cesaroni, Annalisa, Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367 and Marchi, Claudio
2016.
Homogenization of a mean field game system in the small noise limit.
SIAM Journal on Mathematical Analysis
48
(4)
, pp. 2701-2729.
10.1137/16M1063459
|
|
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Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367 and Orlandi, Enza
2015.
Uniqueness of the minimizer for a random non-local functional with double-well potential in d⩽2.
Annales de l'Institut Henri Poincare (C) Non Linear Analysis
32
(3)
, pp. 593-622.
10.1016/j.anihpc.2014.02.002
|
|
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Adams, Steffan, Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367, Peletier, Mark and Zimmer, Johannes
2013.
Large deviations and gradient flows.
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
371
(2005)
, 20120341.
10.1098/rsta.2012.0341
|
|
Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Laschos, Vaios and Zimmer, Johannes
2012.
Upscaling from particle models to entropic gradient flows.
Journal of Mathematical Physics
53
(6)
, 063704.
10.1063/1.4726509
|
|
Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367 and Orlandi, Enza
2011.
Unique minimizer for a random functional with double-well potential in dimension 1 and 2.
Communications in Mathematical Sciences
9
(2)
, pp. 331-351.
10.4310/CMS.2011.v9.n2.a1
|
|
Adams, Stefan, Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367, Peletier, Mark A. and Zimmer, Johannes
2011.
From a large-deviations principle to the Wasserstein Gradient Flow: a new micro-macro passage.
Communications in Mathematical Physics
307
(3)
, pp. 791-815.
10.1007/s00220-011-1328-4
|
|
Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367, Dondl, Patrick and Scheutzow, Michael
2011.
Pinning of interfaces in random media.
Interfaces and Free Boundaries
13
(3)
, pp. 411-421.
10.4171/IFB/265
|
|
Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367, Dragoni, Federica ORCID: https://orcid.org/0000-0001-6076-9725 and Von Renesse, Max
2010.
Evolution by mean curvature flow in sub-Riemannian geometries: a stochastic approach.
Communications on Pure and Applied Analysis
9
(2)
, pp. 307-326.
10.3934/cpaa.2010.9.307
|
|
Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367, Dondl, Patrick W., Grimmett, Geoffrey R., Holroyd, Alexander E. and Scheutzowv, Michael V.
2010.
Lipschitz percolation.
Electronic Communications in Probability
15
(2)
, pp. 14-21.
|
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Coville, Jérôme, Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367 and Luckhaus, Stephan
2010.
Non-existence of positive stationary solutions for a class of semi-linear PDEs with random coefficients.
Networks and Heterogeneous Media
5
(4)
, pp. 745-763.
10.3934/nhm.2010.5.745
|
|
Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367 and Orlandi, Enza
2009.
Sharp-interface limit of a Ginzburg-Landau functional with a random external field.
SIAM Journal on Mathematical Analysis
41
(2)
, pp. 781-824.
10.1137/070684100
|
|
|
Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367
2008.
Switching paths for Ising models with long-range interaction.
Mörters, Peter, Moser, Roger, Penrose, Mathew, Schwetlick, Hartmut and Zimmer, Johannes, eds.
Analysis and stochastics of growth processes and interface models,
Oxford Scholarship Online,
pp. 244-265.
(10.1093/acprof:oso/9780199239252.003.0011)
|
|
Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367, Marcello, Lucia and Matteo, Novaga
2008.
Gradient theory of phase transitions with a rapidly oscillating forcing term.
Asymptotic Analysis
60
(1-2)
, pp. 29-59.
10.3233/ASY-2008-0897
|
|
Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367, Karali, G. and Yip, N. K.
2008.
Pulsating wave for mean curvature flow in inhomogeneous medium.
European Journal of Applied Mathematics
19
(6)
, pp. 661-699.
10.1017/S095679250800764X
|
|
|
Bellettini, G., De Masi, A., Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367 and Presutti, E.
2007.
Stability of invariant manifolds in one and two dimensions.
Nonlinearity
20
(3)
, pp. 537-582.
10.1088/0951-7715/20/3/002
|
|
Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367 and Yip, N. K.
2006.
Pinning and de-pinning phenomena in front propagation in heterogeneous media.
Interfaces and Free Boundaries
8
(1)
, pp. 79-109.
10.4171/IFB/136
|
|
Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367, Lucia, M. and Novaga, Matteo
2006.
Gamma--convergence of the Allen-Cahn energy with an oscillating forcing term.
Interfaces and Free Boundaries
8
(1)
, pp. 47-78.
10.4171/IFB/135
|
|
De Masi, Anna, Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367 and Presutti, Errico
2006.
Interface Instability under Forced Displacements.
Annales Henri Poincaré
7
(3)
, pp. 471-511.
10.1007/s00023-005-0257-1
|
|
Bellettini, G., De Masi, A., Dirr, Nicolas P. ORCID: https://orcid.org/0000-0003-3634-7367 and Presutti, E.
2006.
Tunneling in Two Dimensions.
Communications in Mathematical Physics
269
(3)
, pp. 715-763.
10.1007/s00220-006-0143-9
|
|
Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367 and Souganidis, Panagiotis E.
2005.
Large-time behavior for viscous and nonviscous Hamilton-Jacobi equations forced by additive noise.
SIAM Journal on Mathematical Analysis
37
(3)
, pp. 777-796.
10.1137/040611896
|
|
|
Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367
2004.
A Stefan problem with surface tension as the sharp interface limit of a nonlocal system of phase-field type.
Journal of statistical physics
114
(3-4)
, pp. 1085-1113.
10.1023/B:JOSS.0000012517.33719.9f
|
|
Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367 and Luckhaus, Stephen
2001.
Mesoscopic limit for non-isothermal phase transition.
Markov processes and related fields
7
(3)
, pp. 355-381.
|
|
Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Luckhaus, Stephan and Novaga, Matteo
2001.
A stochastic selection principle in case of fattening for curvature flow.
Calculus of Variations and Partial Differential Equations
13
(4)
, pp. 405-425.
10.1007/s005260100080
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