Exploració per tema "Ergodic theory"
Ara es mostren els items 1-11 de 11
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A Central Limit Theorem for inner functions
(2022-06)
Article
Accés obertA Central Limit Theorem for linear combinations of iterates of an inner function is proved. The main technical tool is Aleksandrov Disintegration Theorem for Aleksandrov-Clark measures. -
A computational and geometric approach to phase resetting curves and surfaces
(2009)
Article
Accés obert -
Assessment of the depth of anesthesia based on symbolic dynamics of the EEG
(2010)
Comunicació de congrés
Accés obertMethodologies based on symbolic dynamics have successfully demonstrated to reflect the nonlinear behavior of biological signals. In the present study, symbolic dynamics was applied to the electroencephalogram (EEG) in ... -
De la mecànica celeste als sistemes dinàmics: un camí d'anar i tornar
(2006-05-17)
Audiovisual
Accés obertLa Mecànica Celeste estudia el moviment dels astres i, en general, tot tema relacionat amb el problema dels N cossos i les seves aplicacions a la ciència espacial. Podem considerar que el seu origen remot és el coneixement ... -
El problema dels deu Martinis
(2005-03-09)
Audiovisual
Accés obert"El problema dels 10 martinis fou plantejat el 1981 pel matemàtic Marc Kac i es pregunta per l'estructura cantoriana de l'espectre de l’operador «almost Mathieu» o de Harper. En aquesta xerrada exposarem les motivacions ... -
Kolmogorov Theorem Revisited
(2004)
Report de recerca
Accés obertKolmogorov Theorem on the persistence of invariant tori of real analytic Hamiltonian systems is revisited. In this paper we are mainly concerned with the lower bound on the constant of the Diophantine condition required ... -
On Birkhoff's conjecture about convex billiards
(1995)
Article
Accés obertBirkhoff conjectured that the elliptic billiard was the only integrable convex billiard. Here we prove a local version of this conjecture: any non-trivial symmetric entire perturbation of an elliptic billiard is non-integrable. -
On the number of periodic orbits in billiards with flat points
(Universitat Politècnica de Catalunya, 2022-01)
Projecte Final de Màster Oficial
Accés obertA billiard is a map that describes the motion of a ball without mass in a closed region on the plane such that the collisions with the boundary are elastic. The region where the ball moves is the billiard table. In this ... -
Poincaré i la Teoria KAM
(2003-11-01)
Audiovisual
Accés obertLa teoría KAM representó en el siglo XX uno de las mayores revoluciones en Sistemas Dinámicos. Se cita a Henri Poincaré como uno de los fundadores de los Sistemas Dinámicos modernos. Leyendo sus obras, y en particular Les ... -
Population modelling for dormancy cancers
(Universitat Politècnica de Catalunya, 2020-07)
Treball Final de Grau
Accés obertImmunotherapy is a type of cancer treatment that boosts the natural defenses of the body to fight cancer without damaging normal cells. Many scientists have shown interest in developing a mathematical model that simulates ... -
Reversible perturbations of conservative Hénon-like maps
(2021-04-01)
Article
Accés obertFor area-preserving Hénon-like maps and their compositions, we consider smooth perturbations that keep the reversibility of the initial maps but destroy their conservativity. For constructing such perturbations, we use two ...
