Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Jager, Lisette"'
Autor:
Jager, Lisette, Verdure, Killian
We are interested in stochastic processes satisfying a nonlinear recurrence relation of the form $$X_{n + k} = \Phi_0 (X_n, ..., X_{n + k - 1}) + \Theta_n$$ where $\Theta$ is a noise term. We establish the existence of an invariant measure for this p
Externí odkaz:
http://arxiv.org/abs/2412.14781
Autor:
Jager, Lisette
This paper deals with positivity properties for a pseudodifferential calculus, generalizing Weyl's classical quantization, and set on an infinite dimensional phase space, the Wiener space. In this frame, we show that a positive symbol does not, in ge
Externí odkaz:
http://arxiv.org/abs/2205.04091
The purpose of this article is to give a result of localization in space of the ground states photons, in some sense, of a Hamiltonian modelling nuclear magnetic resonance in quantum electrodynamics. The asymptotics at infinity obtained for the densi
Externí odkaz:
http://arxiv.org/abs/1904.01489
This article is concerned with compositions in the context of three standard quantizations in the Fock space framework, namely, anti-Wick, Wick and Weyl quantizations. The first one is a composition of states and is closely related to the standard sc
Externí odkaz:
http://arxiv.org/abs/1805.00758
In this article, we are interested in a spin model including the quantized electromagnetic field (photons). With this model of quantum electrodynamics (QED) related to nuclear magnetic resonance (NMR) we give explicit quantum radiative corrections of
Externí odkaz:
http://arxiv.org/abs/1709.02771
We are interested in this paper with the connection between the dynamics of a model related to Nuclear Magnetic Resonance (NMR) in Quantum Field Theory (QFT) with its classical counterpart known as the Maxwell-Bloch equations. The model in QFT is a m
Externí odkaz:
http://arxiv.org/abs/1705.07097
Autor:
Jager, Lisette
The construction, in [AJN], of a pseudodifferential calculus analogous to the Weyl calculus, in an infinite dimensional setting, required the introduction of convenient classes of symbols. In this article, we proceed with the study of these classes i
Externí odkaz:
http://arxiv.org/abs/1607.02253
Publikováno v:
Acta Applicandae Mathematicae 2018
We study the real, bounded-variables process (X_n) defined by a k-term recurrence relation X_{n+k} ={\phi}(X_n, ... , X_{n+k-1}). We prove the decay of correlations, mainly under purely analytic hypotheses concerning the function {\phi} and its parti
Externí odkaz:
http://arxiv.org/abs/1606.01644
We study the real valued process $ \{X_t, t\in {\mathbb N}\} $ defined by $X_{t+2} = \varphi(X_t,X_{t+1})$, where the $X_t$ are bounded. We aim at proving the decay of correlations for this model, under regularity assumptions on the transformation $\
Externí odkaz:
http://arxiv.org/abs/1412.2644
We aim at extending the definition of the Weyl calculus to an infinite dimensional setting, by replacing the phase space $ \mathbb{R}^{2n}$ by $B^2$, where $(i,H,B)$ is an abstract Wiener space. A first approach is to generalize the integral definiti
Externí odkaz:
http://arxiv.org/abs/1412.1577