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Abstract: We consider the long time behavior of the solutions to the Burgers-Fisher-KPP equation. This equation exhibits a transition from the pulled (a la FKPP)  to the pushed (a la Allen-Cahn) behavior at a critical value $\beta_c$ of the strength of the Burgers term. The main…

Abstract: Igusa varieties are smooth varieties in characteristic p arising naturally as étale covers of certain subvarieties (central leaves) of Shimura varieties, for example of the ordinary locus of the modular curve. Igusa varieties over the (mu)-ordinary locus of a Shimura variety are used…

Coleman and Mazur constructed the first eigencurve, a $p$-adic analytic space which parametrizes $p$-adic overconvergent modular eigenforms of nonzero eigenvalue under the Hecke operator $U_p$. Since then, many authors have constructed analogous higher-dimensional eigenvarieties for various…