Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Chiranjib Mukherjee"'
Publikováno v:
The Annals of Applied Probability. 33
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3cf1572076836a530946f3ec51b5636a
https://doi.org/10.1214/22-aap1864
https://doi.org/10.1214/22-aap1864
Autor:
Chiranjib Mukherjee, S. R. S. Varadhan
Publikováno v:
Communications on Pure and Applied Mathematics. 75:1642-1653
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::56815dfb0748b2965cdb37ef3b1698d6
https://doi.org/10.1002/cpa.22052
https://doi.org/10.1002/cpa.22052
Publikováno v:
Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, 2020, 179 (3), pp.713-728. ⟨10.1007/s10955-020-02539-7⟩
Journal of Statistical Physics, Springer Verlag, 2020, 179 (3), pp.713-728. ⟨10.1007/s10955-020-02539-7⟩
We study Kardar–Parisi–Zhang equation in spatial dimension 3 or larger driven by a Gaussian space–time white noise with a small convolution in space. When the noise intensity is small, it is known that the solutions converge to a random limit a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0dd4152fc96f61db39943e623d103b5e
https://doi.org/10.1007/s10955-020-02539-7
https://doi.org/10.1007/s10955-020-02539-7
Publikováno v:
Communications on Pure and Applied Mathematics. 73:350-383
We consider the Fr\"ohlich model of the Polaron whose path integral formulation leads to the transformed path measure $$ \widehat{\mathbb P}_{\alpha,T}(\mathrm d\omega)= Z_{\alpha,T}^{-1}\,\, \exp\bigg\{\frac{\alpha}{2}\int_{-T}^T\int_{-T}^T\frac{e^{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dead07d83c804e4ed3cbb2eade3df0c2
https://doi.org/10.1002/cpa.21858
https://doi.org/10.1002/cpa.21858
For a random walk in a uniformly elliptic and i.i.d. environment on $\mathbb Z^d$ with $d \geq 4$, we show that the quenched and annealed large deviations rate functions agree on any compact set contained in the boundary $\partial \mathbb{D}:=\{ x \i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::655e1a21ceeb8135f5f4515a7b6fba20
Publikováno v:
Infosys Science Foundation Series ISBN: 9789811559501
{x(t) − x(s)} are the increments of the three dimensional Brownian motion over the intervals [s, t]. \(F(T,\omega )=\int \int _{-T\le s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64346b9083def641fa8cf707f1703aa9
https://doi.org/10.1007/978-981-15-5951-8_24
https://doi.org/10.1007/978-981-15-5951-8_24
Autor:
Chiranjib Mukherjee, Yannic Bröker
Publikováno v:
Ann. Appl. Probab. 29, no. 6 (2019), 3745-3785
We consider a {\it{Gaussian multiplicative chaos}} (GMC) measure on the classical Wiener space driven by a smoothened (Gaussian) space-time white noise. For $d\geq 3$ it was shown in \cite{MSZ16} that for small noise intensity, the total mass of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e34ee86f81bbfb32ef4eb7493b3df57
https://doi.org/10.1214/19-aap1491
https://doi.org/10.1214/19-aap1491
Autor:
Chiranjib Mukherjee
Publikováno v:
Communications on Pure and Applied Mathematics. 70:2366-2404
We are interested in the analysis of Gibbs measures defined on two independent Brownian paths in $\mathbb R^d$ interacting through a mutual self-attraction. This is expressed by the Hamiltonian $\int\int_{\mathbb R^{2d}} V(x-y) \mu(d x)\nu(d y)$ with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c922e262bcc76442e87ab4fba0407e9
https://doi.org/10.1002/cpa.21700
https://doi.org/10.1002/cpa.21700
Autor:
Gerold Alsmeyer, Chiranjib Mukherjee
The concept of homology, originally developed as a useful tool in algebraic topology, has by now become pervasive in quite different branches of mathematics. The notion particularly appears quite naturally in ergodic theory in the study of measure-pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b0473d5c93e666b0a41b813a7e85299