18 citations · 54 across the 7 of their papers we have counts for
7 papers
Lorentz gradient estimates for a class of elliptic p-Laplacian equations with a Schrödinger term
Minh-Phuong Tran, Thanh-Nhan Nguyen, Gia-Bao Nguyen
We prove in this paper the global Lorentz estimate in term of fractional-maximal function for gradient of weak solutions to a class of p-Laplace elliptic equations containing a non…
Airy process with wanderers, KPZ fluctuations, and a deformation of the Tracy--Widom GOE distribution
Karl Liechty, Gia Bao Nguyen, Daniel Remenik
We study the distribution of the supremum of the Airy process with wanderers minus a parabola, or equivalently the limit of the rescaled maximal height of a system of non-i…
Interacting partially directed self-avoiding walk: a probabilistic perspective
Philippe Carmona, Gia Bao Nguyen, Nicolas Pétrélis +1
We review some recent results obtained in the framework of the 2-dimensional Interacting Self-Avoiding Walk (ISAW). After a brief presentation of the rigorous results that have bee…
Extreme statistics of non-intersecting Brownian paths
Gia Bao Nguyen, Daniel Remenik
We consider finite collections of non-intersecting Brownian paths on the line and on the half-line with both absorbing and reflecting boundary conditions (corresponding to Brow…
Non-intersecting Brownian bridges and the Laguerre Orthogonal Ensemble
Gia Bao Nguyen, Daniel Remenik
We show that the squared maximal height of the top path among non-intersecting Brownian bridges starting and ending at the origin is distributed as the top eigenvalue of a rand…
Interacting partially directed self avoiding walk. From phase transition to the geometry of the collapsed phase
P. Carmona, G. B. Nguyen, N. Pétrélis
In this paper, we investigate a model for a dimensional self-interacting and partially directed self-avoiding walk, usually referred to by the acronym IPDSAW. The interaction…
A variational formula for the free energy of the partially directed polymer collapse
Gia Bao Nguyen, Nicolas Petrelis
Long linear polymers in dilute solutions are known to undergo a collapse transition from a random coil (expand itself) to a compact ball (fold itself up) when the temperature is lo…