Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Philippe Sosoe"'
Autor:
Philippe Sosoe, Lily Reeves
Publikováno v:
Stochastic Processes and their Applications. 147:145-174
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::670a974e7b46673a5b5497c00315d4b8
https://doi.org/10.1016/j.spa.2022.01.018
https://doi.org/10.1016/j.spa.2022.01.018
Publikováno v:
Probability Theory and Related Fields.
We consider the single eigenvalue fluctuations of random matrices of general Wigner-type, under a one-cut assumption on the density of states. For eigenvalues in the bulk, we prove that the asymptotic fluctuations of a single eigenvalue around its cl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55176853686f74a7338134747b2cbf97
https://doi.org/10.1007/s00440-022-01181-6
https://doi.org/10.1007/s00440-022-01181-6
Autor:
Christian Noack, Philippe Sosoe
Publikováno v:
The Annals of Applied Probability. 32
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41b450f82305e1782bf7a3dcdbe15a7a
https://doi.org/10.1214/21-aap1744
https://doi.org/10.1214/21-aap1744
Publikováno v:
Communications on Pure and Applied Mathematics. 74:679-743
We provide the first nontrivial upper bound for the chemical distance exponent in two-dimensional critical percolation. Specifically, we prove that the expected length of the shortest horizontal crossing path of a box of side length $n$ in critical p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31d6faac83097d12736f76f3d5b60563
https://doi.org/10.1002/cpa.21945
https://doi.org/10.1002/cpa.21945
Autor:
Benjamin Landon, Philippe Sosoe
We present a proof of an upper tail bound of the correct order (up to a constant factor in the exponent) in two classes of stationary models in the KPZ universality class. The proof is based on an exponential identity due to Rains in the case of Last
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8f8299b3ca780e81b80903bcaa46454
Publikováno v:
Advances in Mathematics. 346:1137-1332
We consider Dyson Brownian motion for classical values of β with deterministic initial data V. We prove that the local eigenvalue statistics coincide with the GOE/GUE in the fixed energy sense after time t ≳ 1 / N if the density of states of V is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3728abb590fa14de05f41742df07ce0b
https://doi.org/10.1016/j.aim.2019.02.010
https://doi.org/10.1016/j.aim.2019.02.010
Publikováno v:
Differential Integral Equations 33, no. 7/8 (2020), 393-430
We prove quasi-invariance of Gaussian measures $\mu_s$ with Cameron-Martin space $H^s$ under the flow of the defocusing nonlinear wave equation with polynomial nonlinearities of any order in dimension $d=2$ and sub-quintic nonlinearities in dimension
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5eda1e72ae7527119342d14b0b2a5ed
https://projecteuclid.org/euclid.die/1594692055
https://projecteuclid.org/euclid.die/1594692055
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Cambridge University Press (CUP), 2020, pp.1-17. ⟨10.1017/prm.2020.68⟩
Oh, T, Robert, T, Sosoe, P & Wang, Y 2021, ' Invariant Gibbs dynamics for the dynamical sine-Gordon model ', Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 151, no. 5, pp. 1450–1466 . https://doi.org/10.1017/prm.2020.68
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Cambridge University Press (CUP), 2020, pp.1-17. ⟨10.1017/prm.2020.68⟩
Oh, T, Robert, T, Sosoe, P & Wang, Y 2021, ' Invariant Gibbs dynamics for the dynamical sine-Gordon model ', Proceedings of the Royal Society of Edinburgh Section A: Mathematics, vol. 151, no. 5, pp. 1450–1466 . https://doi.org/10.1017/prm.2020.68
In this note, we study the hyperbolic stochastic damped sine-Gordon equation (SdSG), with a parameter $\beta^2 > 0$, and its associated Gibbs dynamics on the two-dimensional torus. After introducing a suitable renormalization, we first construct the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b20b56cf8d9b3587d4a5c38de865136
http://arxiv.org/abs/2001.09275
http://arxiv.org/abs/2001.09275
Autor:
Christian Noack, Philippe Sosoe
In this paper, we consider four integrable models of directed polymers for which the free energy is known to exhibit KPZ fluctuations. A common framework for the analysis of these models was introduced in our recent work on the O'Connell-Yor polymer.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ec0adb19435e5af537c4e5d181d8544
Autor:
Philippe Sosoe
Publikováno v:
Proceedings of Symposia in Applied Mathematics. :69-93
We present a survey of techniques to obtain upper bounds for the variance of the passage time in first-passage percolation. The methods discussed are a combination of tools from the theory of concentration of measure, some of which we briefly review.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2076a7bf61f7808baebbb080821b40e7
https://doi.org/10.1090/psapm/075/00658
https://doi.org/10.1090/psapm/075/00658