This is a review on theoretical and experimental studies on dielectric microcavities, which
play a significant role in fundamental and applied research. The basic concepts and theories …

There are numerous physical situations in which a hole or leak is introduced in an otherwise
closed chaotic system. The leak can have a natural origin, it can mimic measurement …

The aim of this Book is to give an overview, based on the results of nearly three decades of
intensive research, of transient chaos. One belief that motivates us to write this book is that …

There are words in the language we speak and concepts in our minds. For present
purposes, we can use a relatively common-sense, unsophisticated notion of a linguistic …

A hyperbolic surface is a surface with geometry modeled on the hyperbolic plane. Spectral
theory in this context refers generally to the Laplacian operator induced by the hyperbolic …

Mathematical study of scattering resonances | Bulletin of Mathematical Sciences Skip to main
content SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Bulletin …

We study quantum scattering on manifolds equivalent to the Euclidean space near infinity, in
the semiclassical regime. We assume that the corresponding classical flow admits a non …

In the past decade modern societies have developed enormous communication and social
networks. Their classification and information retrieval processing has become a formidable …

We explore the connections between dissipative quantum phase transitions and non-
Hermitian random matrix theory. For this, we work in the framework of the dissipative Dicke …

We consider bounds on the number of semiclassical resonances in neighbourhoods of the
size of the semiclassical parameter, h, around energy levels at which the flow is hyperbolic …