Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Tanzi, Matteo"'
In this paper we investigate the action of self-consistent transfer operators (STOs) on Birkhoff cones and give sufficient conditions for stability of their fixed points. Our approach relies on the order preservation properties of STOs that can be es
Externí odkaz:
http://arxiv.org/abs/2408.08745
We consider the differential of a self-consistent transfer operator at a fixed point of the operator itself and show that its spectral properties can be used to establish a kind of local exponential convergence to equilibrium: probability measures ne
Externí odkaz:
http://arxiv.org/abs/2407.09314
Autor:
Fernandez, Bastien, Tanzi, Matteo
Feedback delay has been identified as a key ingredient in the quorum sensing synchronization of synthetic gene oscillators. While this influence has been evidenced at the theoretical level in a simplified system of degrade-and-fire oscillators couple
Externí odkaz:
http://arxiv.org/abs/2405.07752
Autor:
Tanzi, Matteo
In this review we survey the literature on mean-field coupled maps. We start with the early works from the physics literature, arriving to some recent results from ergodic theory studying the thermodynamic limit of globally coupled maps and the assoc
Externí odkaz:
http://arxiv.org/abs/2211.11245
Autor:
Tanzi, Matteo
In this paper we study systems of $N$ uniformly expanding coupled maps when $N$ is finite but large. We introduce self-consistent transfer operators that approximate the evolution of measures under the dynamics, and quantify this approximation explic
Externí odkaz:
http://arxiv.org/abs/2209.13571
Autor:
Tanzi, Matteo *, Montini, Enrica *, Rumolo, Agnese, Moretta, Antonia, Comoli, Patrizia, Acquafredda, Gloria, Rotella, Jessica, Taurino, Gloria, Compagno, Francesca, Cave, Francesco Delle, Perotti, Cesare, Marseglia, Gian Luigi, Zecca, Marco, Montagna, Daniela
Publikováno v:
In Cytotherapy August 2024 26(8):878-889
Autor:
Sélley, Fanni M., Tanzi, Matteo
We study a network of finitely many interacting clusters where each cluster is a collection of globally coupled circle maps in the thermodynamic (or mean field) limit. The state of each cluster is described by a probability measure, and its evolution
Externí odkaz:
http://arxiv.org/abs/2110.05618
Publikováno v:
Phys. Rev. X 10, 021047 2020
Complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through intricate networks. The ability to predict sudden changes in the dynamics of thes
Externí odkaz:
http://arxiv.org/abs/2107.02241
Autor:
Tanzi, Matteo, Young, Lai-Sang
In this paper we present a rigorous analysis of a class of coupled dynamical systems in which two distinct types of components, one excitatory and the other inhibitory, interact with one another. These network models are finite in size but can be arb
Externí odkaz:
http://arxiv.org/abs/2105.03339
We prove that skew systems with a sufficiently expanding base have approximate exponential decay of correlations, meaning that the exponential rate is observed modulo an error. The fiber maps are only assumed to be Lipschitz regular and to depend on
Externí odkaz:
http://arxiv.org/abs/2104.06434