41 citations · 164 across the 19 of their papers we have counts for
19 papers
A geometric formulation of GENERIC stochastic differential equations
Mark A. Peletier, Marcello Seri
We propose a coordinate-invariant geometric formulation of the GENERIC stochastic differential equation, unifying reversible Hamiltonian and irreversible dissipative dynamics withi…
Characterization of symmetries of contact Hamiltonian systems
Federico Zadra, Marcello Seri
This paper explores the relationship between Cartan symmetries, dynamical similarities, and dynamical symmetries in contact Hamiltonian mechanics. By introducing an alternative dec…
Extremal Black Holes as Relativistic Systems with Kepler Dynamics
Dijs de Neeling, Diederik Roest, Marcello Seri +1
The recent detection of gravitational waves emanating from inspiralling black hole binaries has triggered a renewed interest in the dynamics of relativistic two-body systems. The c…
Chaotic light scattering around extremal black holes
Martijn Kluitenberg, Diederik Roest, Marcello Seri
We show that the scattering of light in the field of static extremal black holes is chaotic in the planar case. The relativistic dynamics of such extremal objects reduce…
A Magnetic Pseudodifferential Calculus for Operator-Valued and Equivariant Operator-Valued Symbols
Giuseppe De Nittis, Max Lein, Marcello Seri
In this monograph we develop magnetic pseudodifferential theory for operator-valued and equivariant operator-valued functions and distributions from first principles. These have fo…
The flow method for the Baker-Campbell-Hausdorff formula: exact results
Federico Zadra, Alessandro Bravetti, Angel Alejandro García-Chung +1
Leveraging techniques from the literature on geometric numerical integration, we propose a new general method to compute exact expressions for the BCH formula. In its utmost genera…
New directions for contact integrators
Alessandro Bravetti, Marcello Seri, Federico Zadra
Contact integrators are a family of geometric numerical schemes which guarantee the conservation of the contact structure. In this work we review the construction of both the varia…
Geometric numerical integration of Liénard systems via a contact Hamiltonian approach
Federico Zadra, Alessandro Bravetti, Marcello Seri
Starting from a contact Hamiltonian description of Liénard systems, we introduce a new family of explicit geometric integrators for these nonlinear dynamical systems. Focusing on t…
Numerical integration in celestial mechanics: a case for contact geometry
Alessandro Bravetti, Marcello Seri, Mats Vermeeren +1
Several dynamical systems of interest in celestial mechanics can be written in the form of a Newton equation with time-dependent damping, linear in the velocities. For instance, th…
Contact variational integrators
Mats Vermeeren, Alessandro Bravetti, Marcello Seri
We present geometric numerical integrators for contact flows that stem from a discretization of Herglotz' variational principle. First we show that the resulting discrete map is a…
Symbolic Dynamics of Magnetic Bumps
Andreas Knauf, Marcello Seri
For n convex magnetic bumps in the plane, whose boundary has a curvature somewhat smaller than the absolute value of the constant magnetic field inside the bump, we construct a com…
Quantum confinement on non-complete Riemannian manifolds
Dario Prandi, Luca Rizzi, Marcello Seri
We consider the quantum completeness problem, i.e. the problem of confining quantum particles, on a non-complete Riemannian manifold equipped with a smooth measure , possibl…
A sub-Riemannian Santaló formula with applications to isoperimetric inequalities and first Dirichlet eigenvalue of hypoelliptic operators
Dario Prandi, Luca Rizzi, Marcello Seri
In this paper we prove a sub-Riemannian version of the classical Santaló formula: a result in integral geometry that describes the intrinsic Liouville measure on the unit cotangent…
Accumulation of complex eigenvalues of an indefinite Sturm--Liouville operator with a shifted Coulomb potential
Michael Levitin, Marcello Seri
For a particular family of long-range potentials , we prove that the eigenvalues of the indefinite Sturm--Liouville operator accumulate to zero…
The Problem of Two Fixed Centers: Bifurcation Diagram for Positive Energies
Marcello Seri
We give a comprehensive analysis of the Euler-Jacobi problem of motion in the field of two fixed centers with arbitrary relative strength and for positive values of the energy. The…
Resonances in the Two-Centers Coulomb Systems
Marcello Seri, Andreas Knauf, Mirko Degli Esposti +1
We investigate the existence of resonances for two-centers Coulomb systems with arbitrary charges in two dimensions, defining them in terms of generalised complex eigenvalues of a…
Spectral analysis and the Aharonov-Bohm~effect on certain almost-Riemannian manifolds
Ugo Boscain, Dario Prandi, Marcello Seri
We study spectral properties of the Laplace-Beltrami operator on two relevant almost-Riemannian manifolds, namely the Grushin structures on the cylinder and on the sphere. This ope…
Recurrence and higher ergodic properties for quenched random Lorentz tubes in dimension bigger than two
Marcello Seri, Marco Lenci, Mirko Degli Esposti +1
We consider the billiard dynamics in a non-compact set of R^d that is constructed as a bi-infinite chain of translated copies of the same d-dimensional polytope. A random configura…
Recurrence for quenched random Lorentz tubes
Giampaolo Cristadoro, Marco Lenci, Marcello Seri
We consider the billiard dynamics in a strip-like set that is tessellated by countably many translated copies of the same polygon. A random configuration of semidispersing scattere…