Comment on 'Effective confining potential of quantum states in disordered media'

Autor: Alain Comtet, Christophe Texier

Publikováno v: Physical Review Letters
Physical Review Letters, American Physical Society, 2020, 124 (21), ⟨10.1103/PhysRevLett.124.219701⟩

We provide some analytical tests of the density of states estimation from the "localization landscape" approach of Ref. [Phys. Rev. Lett. 116, 056602 (2016)]. We consider two different solvable models for which we obtain the distribution of the lands

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0fdc7288fb1e52110ae0959fcc323a2e
http://arxiv.org/abs/2001.01310

Stochastic Processes and Random Matrices

Autor: Alain Comtet, Yves Tourigny

Publikováno v: Oxford Scholarship

The field of stochastic processes and random matrix theory (RMT) has been a rapidly evolving subject during the past fifteen years where the continuous development and discovery of new tools, connections, and ideas have led to an avalanche of new res

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::324051ca7210f7fb6d896dc60f722529
https://doi.org/10.1093/oso/9780198797319.001.0001

Explicit formulae in probability and in statistical physics

Autor: Alain Comtet, Yves Tourigny

Publikováno v: Tourigny, Y & Comtet, A 2015, Explicit formulae in probability and in statistical physics . in C Donati-Martin & A Rouault (eds), In Memoriam Marc Yor--Seminaire de Probabilites XLVII : Lecture Notes in Mathematics . vol. 2137, Lecture Notes in Mathematics, Springer, pp. 505-519 . https://doi.org/10.1007/978-3-319-18585-9_22
Lecture Notes in Mathematics ISBN: 9783319185842

We consider two aspects of Marc Yor’s work that have had an impact instatistical physics: firstly, his results on the windings of planar Brownian motionand their implications for the study of polymers; secondly, his theory of exponential functional

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ecdee7ccea9892e8765f4a5feab9e683
https://research-information.bris.ac.uk/ws/files/87353628/marc.pdf

On certain functionals of the maximum of Brownian motion and their applications

Autor: Anthony Perret, Satya N. Majumdar, Alain Comtet, Grégory Schehr

Publikováno v: Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, 2015, 161, pp.1112

We consider a Brownian motion (BM) $x(\tau)$ and its maximal value $x_{\max} = \max_{0 \leq \tau \leq t} x(\tau)$ on a fixed time interval $[0,t]$. We study functionals of the maximum of the BM, of the form ${\cal O}_{\max}(t)=\int_0^t\, V(x_{\max} -

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2543f2b9c71a34cf5ebfc34c5e98a72
https://hal.archives-ouvertes.fr/hal-01237680

Winding statistics of a Brownian particle on a ring

Autor: Alain Comtet, Satya N. Majumdar, Anupam Kundu

Publikováno v: Journal of Physics A: Mathematical and Theoretical
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2014, 47 (38), pp.385001
Journal of Physics A: Mathematical and Theoretical, 2014, 47 (38), pp.385001. ⟨10.1088/1751-8113/47/38/385001⟩

We consider a Brownian particle moving on a ring. We study the probability distributions of the total number of turns and the net number of counter-clockwise turns the particle makes till time t. Using a method based on the renewal properties of Brow

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa7144d80dc881e4c461d1c324d0cb5c
https://hal.archives-ouvertes.fr/hal-01070752