57 citations · 110 across the 8 of their papers we have counts for
10 papers
An affine generalization of evacuation
M. Chmutov, G. Frieden, D. Kim +2
We establish the existence of an involution on tabloids that is analogous to Schutzenberger's evacuation map on standard Young tableaux. We find that the number of its fixed points…
Matrix-Ball Construction of affine Robinson-Schensted correspondence
Michael Chmutov, Pavlo Pylyavskyy, Elena Yudovina
In his study of Kazhdan-Lusztig cells in affine type , Shi has introduced an affine analog of Robinson-Schensted correspondence. We generalize the Matrix-Ball Construction of Vi…
A Markov model of a limit order book: thresholds, recurrence, and trading strategies
Frank Kelly, Elena Yudovina
We analyze a tractable model of a limit order book on short time scales, where the dynamics are driven by stochastic fluctuations between supply and demand. We establish the existe…
High-dimensional estimation with geometric constraints
Yaniv Plan, Roman Vershynin, Elena Yudovina
Consider measuring an n-dimensional vector x through the inner product with several measurement vectors, a_1, a_2, ..., a_m. It is common in both signal processing and statistics t…
Lecture Notes on Random Matrix Theory
Vladislav Kargin, Elena Yudovina
Brief lecture notes for a course about random matrices given at the University of Cambridge.
Socially optimal charging strategies for electric vehicles
Elena Yudovina, George Michailidis
Electric vehicles represent a promising technology for reducing emissions and dependence on fossil fuels and have started entering different automotive markets. In order to bolster…
A simple model of a limit order book
Elena Yudovina
We formulate a simplified model of a limit order book, in which the arrival process is independent of the current state. We prove a phase transition result: there exist prices $κ_b…
Tightness of invariant distributions of a large-scale flexible service system under a priority discipline
Alexander Stolyar, Elena Yudovina
We consider large-scale service systems with multiple customer classes and multiple server pools; interarrival and service times are exponentially distributed, and mean service tim…
Systems with large flexible server pools: Instability of "natural" load balancing
Alexander L. Stolyar, Elena Yudovina
We consider general large-scale service systems with multiple customer classes and multiple server (agent) pools, mean service times depend both on the customer class and server po…
Introduction to representation theory
Pavel Etingof, Oleg Golberg, Sebastian Hensel +4
These are lecture notes that arose from a representation theory course given by the first author to the remaining six authors in March 2004 within the framework of the Clay Mathema…