A. Dasgupta

activity

20052022

most citedMulticolor urn models with reducible replacement matrices

14 citations · 40 across the 10 of their papers we have counts for

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12 papers · 1 filter

math.PR2022

Azuma-Hoeffding bounds for a class of urn models

Amites Dasgupta

We obtain Azuma bounds for the probabilities of being away from the limit for a class of urn models. The method consists of relating the variables to certain linear combinations us…

math.PR2020

S.L.L.N. and C.L.T. for Random Walks in I.I.D. Random Environment on Cayley Trees

Siva Athreya, Antar Bandyopadhyay, Amites Dasgupta +1

We consider the random walk in an independent and identically distributed (i.i.d.) random environment on a Cayley graph of a finite free product of copies of $Z$ and $\mat…

math.PR2016

A Measure on the space of Lipschitz isometric maps of a compact 1-manifold into $R^{2}$

Amites Dasgupta, Mahuya Datta

Let $M$ be a compact 1-manifold. Given a continuous function $g : M \to R_{+}$ we consider the following ordinary differential equation: $∥ f ˙ (t) ∥ = g (t)$ , where $f:M\to \ma…

math.PR2016

Nash twist and Gaussian noise measure on isometric $C^{1}$ maps

Amites Dasgupta, Mahuya Datta

Starting with a short map $f_{0} : I \to R^{3}$ on the unit interval $I$ , we construct random isometric map $f_{n} : I \to R^{3}$ (with respect to some fixed Riemannian metrics)…

math.PR2013

Random Walks in I.I.D. Random Environment on Cayley Trees

Siva Athreya, Antar Bandyopadhyay, Amites Dasgupta

We consider the random walk in an \emph{i.i.d.} random environment on the infinite $d$ -regular tree for $d \geq 3$ . We consider the tree as a Cayley graph of free product of finite…

math.PR2013★ 1 cited

An Ornstein-Uhlenbeck process associated to self-normalized sums

Gopal K. Basak, Amites Dasgupta

We consider an Ornstein-Uhleneck (OU) process associated to self-normalised sums in i.i.d. symmetric random variables from the domain of attraction of $N (0, 1)$ distribution. We pr…