arXiv research

Study optimal portfolio strategies with periodic evaluation under short-selling prohibition.

Study finds periodic orbits in a complex gravitational system.

New periodic solutions found in 2n-body problem, braids of pseudo-Anosov type with stretch factors as metallic ratios.

We introduce a new technique to solve period problems on minimal surfaces called limit-method. If a family of surfaces has Weierstrass-data converging to the data of a known example, and this presents a transversal solution of periods, then the original family contains a sub-family with closed periods.

The period of orbits in the restricted three-body problem depends on the enclosed region.

Constructing new minimal surfaces of higher genus.

Classifies periodic points on regular and double n-gon surfaces.

New Taylor method proves periodic 3-body problem solution.

In this paper we show how to bypass the usual difficulties in the analysis of elliptic integrals that arise when solving period problems for minimal surfaces. The method consists of replacing period problems with ordinary Sturm-Liouville problems involving the support function. We give a practical application by provin…

Study periodic solutions in N-body problem, revealing braids with complex dynamics.

This paper optimizes portfolio management in incomplete markets with stochastic factors, considering periodic wealth evaluations.

Model for multi-period carbon market pricing with allowances.

Hamiltonian dynamical systems tend to have infinitely many periodic orbits. For example, for a broad class of symplectic manifolds almost all levels of a proper smooth Hamiltonian carry periodic orbits. The Hamiltonian Seifert conjecture is the existence problem for regular compact energy levels without periodic orbits…

Study describes periodic controls in step 2 sub-Finsler problems on Carnot groups.

In the present paper, we derive a closed-form solution of the multi-period portfolio choice problem for a quadratic utility function with and without a riskless asset. All results are derived under weak conditions on the asset returns. No assumption on the correlation structure between different time points is needed a…

Study examines how slight model changes affect multi-period optimization outcomes.

New method for approximating periodic kernels on high-dimensional data.

In this paper the problem of estimating the number of periodical billiard trajectories is considered. The main result is the theorem on Morse theory for periodical billiard trajectories.

Constructs a family of genus three minimal surfaces with parallel ends.

New method reconstructs signals and images from periodic nonlinearities.

Study on periodic knots, proving limitations on their Alexander polynomials.

Solves multi-period portfolio optimization using quantum annealing.

Paper describes a family of periodic solutions in the three body problem.

Optimizes multi-period portfolios with tail-risk constraints using neural networks.

Alexander invariants studied for periodic virtual knots.

Study optimal portfolio management with periodic evaluations in stochastic models, considering convex constraints.

Neural networks struggle with periodic functions, a new activation fixes this.

Study finds the shortest triply periodic graph spanning a cubic lattice.

Two new triply periodic minimal surfaces of genus 4 discovered.

Study finds multiple periodic solutions to ODEs related to curvature problems.

Study shows existence and uniqueness of periodic pseudospherical surfaces from Cauchy problems.

Scattering theory on Riemann surfaces with explicit matrix and generalized period mappings.

Geometrically solves Schrödinger flow on sphere.

The study of periodic subgroups in homeomorphism groups of manifolds.

Geometric approach to meromorphic differentials' periods and their holonomy representations.

New model optimizes portfolios over multiple periods using predictive control.

The study finds infinitely many periodic orbits that can be used to modify Anosov flows.

Minimal surfaces span periodic curves in 3D space.

We give an explicit solution of robust mean-variance hedging problem in the single period model for some type of contingent claims. The alternative approach is also considered.

Let K be a connected finite complex. This paper studies the problem of whether one can attach a cell to some iterated suspension S^j K so that the resulting space satisfies Poincare duality. When this is possible, we say that S^j K is a spine. We introduce the notion of quadratic self duality and show that if K is quad…

We consider a periodic problem for the motion of a charged particle in a magnetic field. Introducing a notion of Ricci curvature for such Lagrangian systems and using the methods of the calculus of variations in the large, we prove the existence of periodic motions for such particles under a condition of positivity of …

Some years ago, V. Markovic proved that there is no section of the Mapping Class Group for a closed surface of genus g larger than 5 (in the case of homeomorphims) and more recently generalized this result with D. Saric to the case where g is larger than 1. We will state a periodicity criterion and will use it to simpl…

The study counts periodic orbits on smooth manifolds, adding ghost orbits for completeness.

Study shows automorphisms of Markov surfaces share periodic points if they share a common iterate.

Developed spectral theory for sinh-Gordon solutions, solving inverse problem.

New periodic solution found in 4-body problem, not part of expected geometrical family.

New policy for non-stationary multi-armed bandits with recovering rewards.

We obtain uncountably many periodic solutions to the singular Yamabe problem on a round sphere, that blow up along a great circle. These are (complete) constant scalar curvature metrics on the complement of $S^1$ inside $S^m$, $m\geq 5$, that are conformal to the round (incomplete) metric and "periodic" in the sense of…