Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Dey, Partha S."'
Autor:
Dey, Partha S., Kim, Daesung
We consider the Ising Curie-Weiss model on the complete graph constrained under a given $\ell^{p}$ norm for some $p>0$. For $p=\infty$, it reduces to the classical Ising Curie-Weiss model. We prove that for all $p>2$, there exists $\beta_{c}(p)$ such
Externí odkaz:
http://arxiv.org/abs/2407.04875
Autor:
Dey, Partha S., Terlov, Grigory
This article considers a class of disordered mean-field combinatorial optimization problems. We focus on the Gibbs measure, where the inverse temperature does not vary with the size of the graph and the edge weights are sampled from a general distrib
Externí odkaz:
http://arxiv.org/abs/2402.07825
We prove a central limit theorem for the Horvitz-Thompson estimator based on the Gram-Schmidt Walk (GSW) design, recently developed in Harshaw et al.(2022). In particular, we consider the version of the GSW design which uses randomized pivot order, t
Externí odkaz:
http://arxiv.org/abs/2305.12512
Consider a collaborative dynamic of $k$ independent random walks on a finite connected graph $G$. We are interested in the size of the set of vertices visited by at least one walker and study how the number of walkers relates to the efficiency of cov
Externí odkaz:
http://arxiv.org/abs/2302.14241
Autor:
Dey, Partha S., Wu, Qiang
We study the fluctuation problems at high temperature in the general mixed $p$-spin glass models under the weak external field assumption: $h= \rho N^{-\alpha}, \rho>0, \alpha \in [1/4,\infty]$. By extending the cluster expansion approach to this gen
Externí odkaz:
http://arxiv.org/abs/2212.14571
We analyze the thermodynamics of the focusing discrete nonlinear Schr\"odinger equation in dimensions $d\ge 3$ with general nonlinearity $p>1$ and under a model with two parameters, representing inverse temperature and strength of the nonlinearity, r
Externí odkaz:
http://arxiv.org/abs/2212.00276
Autor:
Dey, Partha S., Terlov, Grigory
In this note, we derive a Gaussian Central Limit Theorem for the sample quantiles based on identically distributed but possibly dependent random variables with explicit convergence rate. Our approach is based on converting the problem to a sum of ind
Externí odkaz:
http://arxiv.org/abs/2208.09072
Autor:
Dey, Partha S., Gopalan, Aditya
Inspired by blockchains, we introduce a dynamically growing model of rooted Directed Acyclic Graphs (DAGs) referred to as the asynchronous composition model, subject to i.i.d. random delays $(\xi_t)$ with finite mean. The new vertex at time $t$ is co
Externí odkaz:
http://arxiv.org/abs/2202.05080
Autor:
Dey, Partha S., Wu, Qiang
Publikováno v:
Commun. Math. Phys. 2023
We study the fluctuation and limiting distribution of free energy in mean-field spin glass models with Ising spins under weak external fields. We prove that at high temperature, there are three sub-regimes concerning the strength of external field $h
Externí odkaz:
http://arxiv.org/abs/2112.11349
Autor:
Dey, Partha S., Krishnan, Kesav
We consider the disordered monomer-dimer model on cylinder graphs $\mathcal{G}_n$, i.e., graphs given by the Cartesian product of the line graph on $n$ vertices, and a deterministic graph. The edges carry i.i.d. random weights, and the vertices also
Externí odkaz:
http://arxiv.org/abs/2109.12716