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Feb 10, 2015
Discrete Mathematics
Combinatorics

Let G=(V,E) be an undirected graph. Given ℓ∈\Z, let m:V→\Z+ be a non-negative integer valued function satisfying

Subgraph Polytopes and Independence Polytopes of Count Matroids

Given an undirected graph, the non-empty subgraph polytope is the convex hull of the characteristic vectors of pairs (F, S) where S is a non-empty su…
Feb 24, 2015
Mathematical Physics
Optimization and Control

Swim-like motion of bodies immersed in an ideal fluid

The connection between swimming and control theory is attracting increasing attention in the recent literature. Starting from an idea of Alberto Bres…
Sep 25, 2017
Analysis of PDEs

Large time behavior of unbounded solutions of first-order Hamilton-…

We study the large time behavior of solutions of first-order convex Hamilton-Jacobi Equations of Eikonal type set in the whole space. We assume that …
Dec 02, 2018
Numerical Analysis

Rhodonea curves as sampling trajectories for spectral interpolation o…

Rhodonea curves are classical planar curves in the unit disk with the characteristic shape of a rose. In this work, we use point samples along such r…
Jul 26, 2008
Probability

Large scale behavior of semiflexible heteropolymers

We consider a general discrete model for heterogeneous semiflexible polymer chains. Both the thermal noise and the inhomogeneous character of the cha…
Aug 08, 2018
Cryptography and Security

Peek-a-Boo: I see your smart home activities, even encrypted!

A myriad of IoT devices such as bulbs, switches, speakers in a smart home environment allow users to easily control the physical world around them an…
Sep 29, 2016
Cryptography and Security

Don't Skype & Type! Acoustic Eavesdropping in Voice-Over-IP

Acoustic emanations of computer keyboards represent a serious privacy issue. As demonstrated in prior work, physical properties of keystroke sounds m…
Mar 26, 2015
Number Theory
Algebraic Geometry

As an application of Theorem 5.1, in this final section we prove results on the growth of Selmer and Mordell–Weil groups along the finite layers of K∞/K.

Plus/minus Heegner points and Iwasawa theory of elliptic curves at …

Let $E$ be an elliptic curve over $\mathbb Q$ and let $p\geq5$ be a prime of good supersingular reduction for $E$. Let $K$ be an imaginary quadratic …
Jan 18, 2017
Algebraic Geometry
Number Theory

A natural question to ask is whether or not the analogue of Corollary 3.4 or Corollary 4.4 holds with Pic(−)Q replaced by Pic(−)Qp. We will show in the section that when k is a finite field this cannot be the case, since it would imply Tate’s isogen…

Cycle classes in overconvergent rigid cohomology and a semistable L…

In this article we prove a semistable version of the variational Tate conjecture for divisors in crystalline cohomology, stating that a rational (log…
Jul 02, 2019
Machine Learning
Cryptography and Security

Treant: Training Evasion-Aware Decision Trees

Despite its success and popularity, machine learning is now recognized as vulnerable to evasion attacks, i.e., carefully crafted perturbations of tes…
Apr 12, 2017
Cryptography and Security

A Survey on Homomorphic Encryption Schemes: Theory and Implementation

Legacy encryption systems depend on sharing a key (public or private) among the peers involved in exchanging an encrypted message. However, this appr…
May 24, 2019
Software Engineering

What if Process Predictions are not followed by Good Recommendations?

Process-aware Recommender systems (PAR systems) are information systems that aim to monitor process executions, predict their outcome, and recommend …
Apr 11, 2017
Numerical Analysis

Pluripotential Numerics

We introduce numerical methods for the approximation of the main (global) quantities in Pluripotential Theory as the \emph{extremal plurisubharmonic …
Jun 20, 2008
Risk Management
Probability

Heterogeneous credit portfolios and the dynamics of the aggregate los…

We study the impact of contagion in a network of firms facing credit risk. We describe an intensity based model where the homogeneity assumption is b…
Jan 26, 2017
Mathematical Physics

Efficient-robust routing for single commodity network flows

We study single commodity network flows with suitable robustness and efficiency specs. An original use of a maximum entropy problem for distributions…
Mar 22, 2017
Optimization and Control

An Active-Set Algorithmic Framework for Non-Convex Optimization Probl…

In this paper, we describe a new active-set algorithmic framework for minimizing a function over the simplex. The method, at each iteration, makes us…
Nov 27, 2014
Numerical Analysis

Approximation of Eigenfunctions in Kernel-based Spaces

Kernel-based methods in Numerical Analysis have the advantage of yielding optimal recovery processes in the "native" Hilbert space $\calh$ in which t…
Oct 11, 2011
Artificial Intelligence

Uncertainty in Soft Temporal Constraint Problems:A General Framework …

In real-life temporal scenarios, uncertainty and preferences are often essential and coexisting aspects. We present a formalism where quantitative te…
Jun 08, 2016
Optimization and Control

Minimum Restraint Functions for unbounded dynamics: general and con…

We consider an exit-time minimum problem with a running cost, $l\geq 0$ and unbounded controls. The occurrence of points where $l=0$ can be regarded …
Sep 09, 2018
Analysis of PDEs

In this section, we prove the main results of this article, that are Theorem 3 about existence of solutions to (3) and Theorem 4 about uniqueness.

Measure dynamics with Probability Vector Fields and sources

We introduce a new formulation for differential equation describing dynamics of measures on an Euclidean space, that we call Measure Differential Equ…
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