5 problems

Consider the $|\varphi|^4$ model with free boundary conditions (FBC), and let $\chi_{g,\nu,N}^{\rm F}$ denote its susceptibility, while $\chi_{g,\nu,N}$ denotes the susceptibility…

Let $\operatorname{\bf NG}_{s}$ be the probability measure whose moment generating function is specified by … Under the assumptions of Theorem, let $w_N$ denote the critical-window…

Robustness conjecture. The results obtained in the weakly interacting model are robust and relevant for rather generic soliton-antisoliton scattering processes in $(1+1)$ dimension…

Consider the stationary kink $H(x)=\tanh(x/\sqrt{2})$ of the constant-speed $\phi^4$ model, with perturbations $(\varphi_1,\varphi_2)\in H^1\times L^2$ in the energy space. Kowalcz…

Let the variable-speed $\phi^4$ model be considered near its stationary kink solution $H(x)=\tanh(x/\sqrt{2})$, and let perturbations lie in the energy space $H^1\times L^2$. Soffe…