A bstract We study the theory of Jackiw-Teitelboim gravity with generalized dilaton potential
on Euclidean two-dimensional negatively curved backgrounds. The effect of the generalized …

We introduce the novel family of probability distributions on hyperbolic disc. The distinctive
property of the proposed family is invariance under the actions of the group of disc …

A random motion on the Poincaré half-plane is studied. A particle runs on the geodesic lines
changing direction at Poisson-paced times. The hyperbolic distance is analyzed, also in the …

We consider formal quantum Hamiltonian of a charged particle on the Poincaré disk in the
presence of an Aharonov-Bohm magnetic vortex and a uniform magnetic field. It is shown …

We present a geometric investigation of curious dynamical behaviors previously reported in
Kuramoto models with two sub-populations. Our study demonstrates that chimeras and …

We study actions of Möbius group on two sub-populations in the solvable chimera model
proposed by Abrams et al. Dynamics of global variables are given by two coupled Watanabe …

The main results in this paper concern large and moderate deviations for the radial
component of an n-dimensional hyperbolic Brownian motion (for n ≥ 2 n≥ 2) on the …

In this paper we study linear fractional differential equations involving tempered Caputo-type
derivatives in the hyperbolic space. We consider in detail the three-dimensional case for its …

We revisit the basic aspects of first-order optical systems from a geometrical viewpoint. In the
paraxial regime, there is a wide family of beams for which the action of these systems can be …