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Jan 03, 2017
Numerical Analysis

Error estimates for Galerkin approximations of the Serre equations

We consider the Serre system of equations which is a nonlinear dispersive system that models two-way propagation of long waves of not necessarily sma…
Sep 20, 2017
Probability

The random pinning model with correlated disorder given by a renewal …

We investigate the effect of correlated disorder on the localization transition undergone by a renewal sequence with loop exponent $\alpha>0$, when t…
Jul 22, 2017
Algebraic Geometry

Assume the notation of Section 4 for p=3. In particular, ℓ≠3 is an odd prime number, k is an algebraically closed field containing ¯¯¯F3, and X=X3(ℓ) is the reduction of X(ℓ) modulo 3 over k, as in (4.2). Since X3(5) has genus zero, we assume ℓ≥7. L…

Galois structure of the holomorphic differentials of curves

Let $X$ be a smooth projective geometrically irreducible curve over a perfect field $k$ of positive characteristic $p$. Suppose $G$ is a finite group…
Apr 13, 2011
Data Structures and Algorithms
Combinatorics

Dynamic Programming for Graphs on Surfaces

We provide a framework for the design and analysis of dynamic programming algorithms for surface-embedded graphs on n vertices and branchwidth at mos…
Aug 08, 2012

Covariant kinematics and gravitational bounce in Finsler space-times

The similarity between Finsler and Riemann geometry is an intriguing starting point to extend general relativity. The lack of quadratic restriction o…
Jan 01, 2019
Computational Complexity

Algorithmically Efficient Syntactic Characterization of Possibility …

We call domain any arbitrary subset of a Cartesian power of the set $\{0,1\}$ when we think of it as reflecting abstract rationality restrictions on …
Sep 27, 2017
Optimization and Control
Computer Science and Game Theory
Probability

Monopoly Pricing in a Vertical Market with Upstream Demand Uncertainty

We study a classic Cournot market, which we extend to a two-stage game with endogenous cost formation: the retailers' marginal cost represents purcha…
Apr 16, 2019
Geometric Topology

A generalized skein relation for Khovanov homology and a categorifi…

The Jones polynomial is a famous link invariant that can be defined diagrammatically via a skein relation. Khovanov homology is a richer link invaria…
Jan 19, 2012
Machine Learning
Optimization and Control

Adaptive Policies for Sequential Sampling under Incomplete Informatio…

We consider the problem of sequential sampling from a finite number of independent statistical populations to maximize the expected infinite horizon …
Jun 19, 2014
Computer Science and Game Theory

We would like to thank George Christodoulou for the very helpful discussions.

Optimizing the Social Cost of Congestion Games by Imposing Variable …

We describe a new coordination mechanism for non-atomic congestion games that leads to a (selfish) social cost which is arbitrarily close to the non-…
Jun 16, 2011
Computational Complexity

Confronting Intractability via Parameters

One approach to confronting computational hardness is to try to understand the contribution of various parameters to the running time of algorithms a…
Jun 05, 2017
Optimization and Control

Strategic Equilibria in Queues with Dynamic Service Rate and Full I…

We consider the problem of customer equilibrium behavior of a single server Markovian queue with dynamic control of the service rate. Customers arriv…
Mar 29, 2010

Imperfect fluids, Lorentz violations and Finsler Cosmology

We construct a cosmological toy model based on a Finslerian structure of space-time. In particular, we are interested in a specific Finslerian Lorent…
Jan 13, 2016
Optimization and Control
Probability

The results of the previous sections admit a straightforward extension to the case of n>2 identical retailers, i.e. n retailers each having capacity constraint Ti=T. Formally, let N={1,2,…,n}, with n≥2 and denote with Ri retailer i, for i∈N. As in S…

Endogenizing the cost parameter in Cournot oligopoly

We study a single product market with affine inverse demand function in which two producers/retailers, producing under capacity constraints, may orde…
Aug 11, 2018
Computer Science and Game Theory

Measuring Market Performance with Stochastic Demand: Price of Anarchy…

Globally operating suppliers face the rising challenge of wholesale pricing under scarce data about retail demand, in contrast to better informed, lo…
May 20, 2010
Probability

Variational characterization of the critical curve for pinning of ran…

In this paper we look at the pinning of a directed polymer by a one-dimensional linear interface carrying random charges. There are two phases, local…
Apr 02, 2012
Combinatorics

The local $h$-vector of the cluster subdivision of a simplex

The cluster complex $\Delta (\Phi)$ is an abstract simplicial complex, introduced by Fomin and Zelevinsky for a finite root system $\Phi$. The positi…
Dec 06, 2011
Optimization and Control

Customer Equilibrium and Optimal Strategies in an M/M/1 Queue with …

We consider the problem of customer equilibrium strategies in an M/M/1 queue under dynamic service control. The service rate switches between a low a…
May 19, 2012
Optimization and Control

The Value of Service Rate Flexibility in an M/M/1 Queue with Admissio…

We consider a single server queueing system with admission control and the possibility to switch dynamically between a low and a high service rate, a…
May 28, 2018
Numerical Analysis

Error estimates for Galerkin finite element methods for the Camassa-H…

We consider the Camassa-Holm (CH) equation, a nonlinear dispersive wave equation that models one-way propagation of long waves of moderately small am…
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