activity
20172023
most citedThe Fermi-Pasta-Ulam problem and its underlying integrable dynamics: an approach through Lyapunov Exponents

29 citations · 50 across the 13 of their papers we have counts for

collaborators

15 papers

q-fin.ST2023★ 3 cited

Company Similarity using Large Language Models

Dimitrios Vamvourellis, Máté Toth, Snigdha Bhagat +3

Identifying companies with similar profiles is a core task in finance with a wide range of applications in portfolio construction, asset pricing and risk attribution. When a rigoro…

q-fin.ST2023

Quantifying Outlierness of Funds from their Categories using Supervised Similarity

Dhruv Desai, Ashmita Dhiman, Tushar Sharma +3

Mutual fund categorization has become a standard tool for the investment management industry and is extensively used by allocators for portfolio construction and manager selection,…

math.AP2023

Analytical Study of a generalised Dirichlet-Neumann operator and application to three-dimensional water waves on Beltrami flows

Mark D. Groves, Dag Nilsson, Stefano Pasquali +1

In this paper we consider three-dimensional steady water waves with vorticity, under the action of gravity and surface tension; in particular we consider so-called Beltrami flows,…

math.DS2023

Energy cascade for the Klein-Gordon lattice

Stefano Pasquali

We study analytically the dynamics of a -dimensional Klein-Gordon lattice with periodic boundary conditions, for . We consider initial data supported on one low-freque…

q-fin.CP2022★ 1 cited

Learning Embedded Representation of the Stock Correlation Matrix using Graph Machine Learning

Bhaskarjit Sarmah, Nayana Nair, Dhagash Mehta +1

Understanding non-linear relationships among financial instruments has various applications in investment processes ranging from risk management, portfolio construction and trading…

q-fin.CP2022

Learning Mutual Fund Categorization using Natural Language Processing

Dimitrios Vamvourellis, Mate Attila Toth, Dhruv Desai +2

Categorization of mutual funds or Exchange-Traded-funds (ETFs) have long served the financial analysts to perform peer analysis for various purposes starting from competitor analys…

q-fin.CP2022★ 1 cited

Supervised similarity learning for corporate bonds using Random Forest proximities

Jerinsh Jeyapaulraj, Dhruv Desai, Peter Chu +3

Financial literature consists of ample research on similarity and comparison of financial assets and securities such as stocks, bonds, mutual funds, etc. However, going beyond corr…

math.AP2020

Chaotic Resonant Dynamics and Exchanges of Energy in Hamiltonian PDEs

Filippo Giuliani, Marcel Guardia, Pau Martin +1

The aim of this note is to present the recent results in [16] where we provide the existence of solutions of some nonlinear resonant PDEs on the 2-dimensional torus exchanging ener…

math.AP2020★ 10 cited

Chaotic-like transfers of energy in Hamiltonian PDEs

Filippo Giuliani, Marcel Guardia, Pau Martin +1

We consider the nonlinear cubic Wave, the Hartree and the nonlinear cubic Beam equations on and we prove the existence of different types of solutions which exchange energy b…

math.AP2018

On the integrability of Degasperis-Procesi equation: control of the Sobolev norms and Birkhoff resonances

Roberto Feola, Filippo Giuliani, Stefano Pasquali

We consider the dispersive Degasperis-Procesi equation with . In \cite{Deg} t…

math.DS2018★ 29 cited

The Fermi-Pasta-Ulam problem and its underlying integrable dynamics: an approach through Lyapunov Exponents

G. Benettin, S. Pasquali, A. Ponno

FPU models, in dimension one, are perturbations either of the linear model or of the Toda model; perturbations of the linear model include the usual -model, perturbations of Tod…

math.AP2017

Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit, II

Stefano Pasquali

We study the the nonlinear Klein-Gordon (NLKG) equation on a manifold in the nonrelativistic limit, namely as the speed of light tends to infinity. In particular, we consid…

math.AP2017★ 1 cited

A Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potential

S. Pasquali

We study the one-dimensional nonlinear Klein-Gordon (NLKG) equation with a convolution potential, and we prove that solutions with small analytic norm remain small for exponentiall…

math.AP2017★ 5 cited

Almost global existence for the nonlinear Klein-Gordon equation in the nonrelativistic limit

Stefano Pasquali

We study the one-dimensional nonlinear Klein-Gordon (NLKG) equation with a convolution potential, and we prove that solutions with small norm remain small for long times. The…

math.AP2017

Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit, I

Stefano Pasquali

The nonlinear Klein-Gordon (NLKG) equation on a manifold in the nonrelativistic limit, namely as the speed of light tends to infinity, is considered. In particular, a highe…