Zobrazeno 1 - 10
of 547
pro vyhledávání: '"Ferrari, P. L."'
Autor:
Takeuchi, Kazumasa A., Takasan, Kazuaki, Busani, Ofer, Ferrari, Patrik L., Vasseur, Romain, De Nardis, Jacopo
Integrable spin chains with a continuous non-Abelian symmetry, such as the one-dimensional isotropic Heisenberg model, show superdiffusive transport with little theoretical understanding. Although recent studies reported a surprising connection to th
Externí odkaz:
http://arxiv.org/abs/2406.07150
Autor:
Ferrari, Patrik L., Gernholt, Sabrina
We consider the totally asymmetric simple exclusion process on $\Z$ with step initial condition and with the presence of a rightward-moving wall that prevents the particles from jumping. This model was first studied in [Borodin-Bufetov-Ferrari'21]. W
Externí odkaz:
http://arxiv.org/abs/2403.05366
Autor:
Ferrari, Patrik L., Liu, Min
We consider the Airy$_1$ process, which is the limit process in KPZ growth models with flat and non-random initial conditions. We study the persistence probability, namely the probability that the process stays below a given threshold $c$ for a time
Externí odkaz:
http://arxiv.org/abs/2402.10661
Autor:
Ferrari, Patrik L., Nejjar, Peter
Publikováno v:
Stochastic Processes and their Applications Volume 170, April 2024, 104298
We consider the totally asymmetric simple exclusion process (TASEP) starting with a shock discontinuity at the origin, with asymptotic densities $\lambda$ to the left of the origin and $\rho$ to the right of it and $\lambda<\rho$. We find an exact id
Externí odkaz:
http://arxiv.org/abs/2309.09570
Autor:
Ferrari, Patrik L., Shlosman, Senya
The Ferrari-Spohn diffusion process arises as limit process for the 2D Ising model as well as random walks with area penalty. Motivated by the 3D Ising model, we consider $M$ such diffusions conditioned not to intersect. We show that the top process
Externí odkaz:
http://arxiv.org/abs/2209.14047
Beta regression models are employed to model continuous response variables in the unit interval, like rates, percentages, or proportions. Their applications rise in several areas, such as medicine, environment research, finance, and natural sciences.
Externí odkaz:
http://arxiv.org/abs/2209.11315
We study the decay of the covariance of the Airy$_1$ process, $\mathcal{A}_1$, a stationary stochastic process on $\mathbb{R}$ that arises as a universal scaling limit in the Kardar-Parisi-Zhang (KPZ) universality class. We show that the decay is sup
Externí odkaz:
http://arxiv.org/abs/2206.08571
This article studies several properties of the half-space last passage percolation, in particular the two-time covariance. We show that, when the two end-points are at small macroscopic distance, then the first order correction to the covariance for
Externí odkaz:
http://arxiv.org/abs/2204.06782
We consider a totally asymmetric simple exclusion on $\mathbb{Z}$ with the step initial condition, under the additional restriction that the first particle cannot cross a deterministally moving wall. We prove that such a wall may induce asymptotic fl
Externí odkaz:
http://arxiv.org/abs/2111.02530
Beta regression models are widely used for modeling continuous data limited to the unit interval, such as proportions, fractions, and rates. The inference for the parameters of beta regression models is commonly based on maximum likelihood estimation
Externí odkaz:
http://arxiv.org/abs/2010.11368