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pro vyhledávání: '"Marius A. Schmidt"'
We study isotropic Gaussian random fields on the high-dimensional sphere with an added deterministic linear term, also known as mixed p-spin Hamiltonians with external field. We prove that if the external field is sufficiently strong, then the result
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb4ff842873807235f35c790ea577a21
Autor:
Marius A. Schmidt
Publikováno v:
Ann. Probab. 48, no. 1 (2020), 445-457
We give a simple proof of the theorem by Dembo, Peres, Rosen and Zeitouni (DPRZ) regarding the time Brownian motion needs to cover every $\varepsilon$ ball on the two-dimensional unit torus in the $\varepsilon\searrow 0$ limit.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8340e846441382a2cf4496654fc00d22
https://doi.org/10.1214/19-aop1366
https://doi.org/10.1214/19-aop1366
Autor:
Christof, Külske, Aernout C. D. van, Enter, Louis-Pierre, Arguin, Roberto, Persechino, Erwin, Bolthausen, Jiri, Cerny, Gayrard-Troy, Véronique, Lisa, Hartung, Francesco, Guerra, Goetz, Kersting, Nicola, Kistler, Adrien, Schertzer, Marius A., Schmidt, Lily Z., Wang, Reza, Gheissari, Charles M., Newman, Daniel L., Stein, Pietro, Caputo, Dmitry, Ioffe, Vitali, Wachtel, Alessandra, Faggionato, Gayrard, Véronique
Publikováno v:
Véronique Gayrard, Louis-Pierre Arguin, Nicola Kistler, Irina Kourkova. Springer Nature, https://link.springer.com/book/10.1007/978-3-030-29077-1 (293), 2019, Springer Proceedings in Mathematics & Statistics, ⟨10.1007/978-3-030-29077-1⟩
International audience
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::1642d0505779b3baf49406ed33dc6750
https://hal.science/hal-02379251
https://hal.science/hal-02379251
Publikováno v:
Statistical Mechanics of Classical and Disordered Systems ISBN: 9783030290764
We sketch a new framework for the analysis of disordered systems, in particular mean field spin glasses, which is variational in nature and within the formalism of classical thermodynamics. For concreteness, only the Sherrington–Kirkpatrick model i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb66c1a6eda2e9947b933359ec33b607
https://doi.org/10.1007/978-3-030-29077-1_8
https://doi.org/10.1007/978-3-030-29077-1_8
Publikováno v:
Electron. Commun. Probab.
It has been proved by Bovier & Hartung [Elect. J. Probab. 19 (2014)] that the maximum of a variable-speed branching Brownian motion (BBM) in the weak correlation regime converges to a randomly shifted Gumbel distribution. The random shift is given by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52eb720107b475677e00f30f84ef07e1
https://projecteuclid.org/euclid.ecp/1542942175
https://projecteuclid.org/euclid.ecp/1542942175
Publikováno v:
Ann. Appl. Probab. 30, no. 2 (2020), 788-811
This is the second, and last paper in which we address the behavior of oriented first passage percolation on the hypercube in the limit of large dimensions. We prove here that the extremal process converges to a Cox process with exponential intensity
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::060d89d5cb1c42db3fe8d0889644e6a6
Autor:
Marius A. Schmidt, Nicola Kistler
Publikováno v:
Electron. Commun. Probab.
We study the extremes of a class of Gaussian fields with in-built hierarchical structure. The number of scales in the underlying trees depends on a parameter alpha in [0,1]: choosing alpha=0 yields the random energy model by Derrida (REM), whereas al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8983fed35bd3036b8098f32bb6d7b26
http://arxiv.org/abs/1503.04064
http://arxiv.org/abs/1503.04064