We study a monetary version of the Keen model by merging two alternative extensions, namely the addition of a dynamic price level and the introductio…

We provide a new and elegant approach to relative quasiconvexity for relatively hyperbolic groups in the context of Bowditch's approach to relative h…

Part of this work was was carried out while R.C. was a Visiting Assistant Professor at the School of Mathematics in the Georgia Institute of Technology. R.C. would also like to thank G. Flores for useful discussions and for sharing a preprint versio…

We consider several models of nonlinear wave equations subject to very strong damping and quasi-periodic external forcing. This is a singular perturb…

In mixture model-based clustering applications, it is common to fit several models from a family and report clustering results from only the `best' o…

We explain the concept of Krein signature in Hamiltonian and $\mathcal{PT}$-symmetric systems on the case study of the one-dimensional Gross-Pitaevsk…

A family of parsimonious Gaussian cluster-weighted models is presented. This family concerns a multivariate extension to cluster-weighted modelling t…

In a continuous time stochastic economy, this paper considers the problem of consumption and investment in a financial market in which the representa…

We identify the $\Gamma$-limit of a nanoparticle-polymer model as the number of particles goes to infinity and as the size of the particles and the p…

Let F∙ be a p-adic field of odd residual characteristic p. Let F/F∙ be the unramified quadratic extension. We denote by oF∙ and pF∙ (resp. oF and pF) the ring of integers and its maximal ideal of F∙ (resp. F). We choose a uniformizer ϖ such that ϖoF…

Let $\mathbf{G}$ be an unramified quasi-split unitary group over a p-adic field of odd residual characteristic. The goal of this paper is to describe…

In this section, we use the restriction maps

For a connected, simply-connected complex simple algebraic group $G$, we examine a class of Hessenberg varieties associated with the minimal nilpoten…

Traditionally, there are three species of classification: unsupervised, supervised, and semi-supervised. Supervised and semi-supervised classificatio…

Stability of the peaked periodic waves in the reduced Ostrovsky equation has remained an open problem for a long time. In order to solve this problem…

We consider planar systems of predator-prey models with small predator death rate $\epsilon>0$. Using geometric singular perturbation theory and Floq…

Inspired by numerical studies of the aggregation equation, we study the effect of regularization on nonlocal interaction energies. We consider energi…

A. Bornh\"oft, R. Hanke-Rauschenbach, and K. Sundmacher, [Nonlinear Dyn., 73 (2013), pp. 535-549] introduced a qualitative simplification to the ADM1…

Given a virtual knot $K$, we construct a group $VG_K$ called the virtual knot group, and we use the elementary ideals of $VG_K$ to define invariants …

Mixture model-based clustering has become an increasingly popular data analysis technique since its introduction fifty years ago, and is now commonly…

We describe some recent results on existence of quasi-periodic solutions of Hamiltonian PDEs on compact manifolds. We prove a linear stability result…

We develop an optimization-based approach to the problem of reconstructing temperature-dependent material properties in complex thermo-fluid systems …

There are known infinite families of Brieskorn homology 3-spheres which can be realized as boundaries of smooth contractible 4-manifolds. In this pap…

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