K. Ramanan

activity

20062023

most citedAn explicit formula for the Skorokhod map on

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144 citations · 680 across the 40 of their papers we have counts for

collaborators

54 papers

math.PR2023

Quenched large deviation principles for random projections of $ℓ_{p}^{n}$ balls

Patrick Lopatto, Kavita Ramanan, Xiaoyu Xie

Let $(k_{n})_{n \in N}$ be a sequence of positive integers growing to infinity at a sublinear rate, $k_{n} \to \infty$ and $k_{n} / n \to 0$ as $n \rightarrow \inf…

math.PR2022

Interacting Jump Processes Preserve Semi-Global Markov Random Fields on Path Space

Ankan Ganguly, Kavita Ramanan

Consider a system of interacting particles indexed by the nodes of a graph whose vertices are equipped with marks representing parameters of the model such as the environment or in…

math.PR2022★ 1 cited

Hydrodynamic Limits of non-Markovian Interacting Particle Systems on Sparse Graphs

Ankan Ganguly, Kavita Ramanan

Consider an interacting particle system indexed by the vertices of a (possibly random) locally finite graph whose vertices and edges are equipped with marks representing parameters…

math.PR2021★ 1 cited

Large-time limit of nonlinearly coupled measure-valued equations that model many-server queues with reneging

Rami Atar, Weining Kang, Haya Kaspi +1

The large-time behavior of a nonlinearly coupled pair of measure-valued transport equations with discontinuous boundary conditions, parameterized by a positive real-valued paramete…

math.PR2021★ 1 cited

Large deviation principles induced by the Stiefel manifold, and random multi-dimensional projections

Steven Soojin Kim, Kavita Ramanan

Given an $n$ -dimensional random vector $X^{(n)}$ , for $k < n$ , consider its $k$ -dimensional projection $a_{n, k} X^{(n)}$ , where $a_{n, k}$ is an $n \times k$ -dimen…

math.PR2020

Large Deviation Principles for Lacunary Sums

Christoph Aistleitner, Nina Gantert, Zakhar Kabluchko +2

Let $(a_{k})_{k \in N}$ be a sequence of integers satisfying the Hadamard gap condition $a_{k + 1} / a_{k} > q > 1$ for all $k \in N$ , and let $$ S_n(ω) = \sum_{k=1}^n\cos(2πa_k ω)…