arXiv research

Model analyzes inventory growth cycles with debt-financed investment.

Study uses LLMs to generate investor briefs from company reports and SEC filings.

We educe a perspective on how best to regulate the bank of tomorrow in frames of debate launched by the International Centre for Financial Regulation and Financial Times. Our goal is to create a conceptual framework for policymakers and regulators to shape the international financial system in century of globalization …

Odd crossing numbers and even rotation numbers for cycles in plane immersions.

The paper introduces vortex cycles and nerves, inspired by Thomson's vortex atoms.

Study uses Gaussian processes to model female hormonal cycles.

Proves inequality for 1-dimensional cycles.

This work introduces novel methods to identify and compare cycles across topological objects.

This paper identifies the unique efficient cycle for most hyperbolic manifolds but not for the figure-8 knot complement.

Study Agol cycles for pseudo-Anosov 3-braids.

Study shows credit expansion in mortgage markets influenced U.S. business cycle.

Researchers compute Connes-Chamseddine cycle on 6D manifolds using noncommutative integral.

Gauss diagrams' properties can change with Hamiltonian cycle choice.

New algorithm for learning causal structures with disjoint cycles in linear non-Gaussian models.

Proximal algorithms applied to current deformation into cycles.

Credit expansion led to stronger household leverage cycles during the U.S. business cycle.

In the current article we study complex cycles of higher multiplicity in a specific polynomial family of holomorphic foliations in the complex plane. The family in question is a perturbation of an exact polynomial one-form giving rise to a foliation by Riemann surfaces. In this setting, a complex cycle is defined as a …

AdaBoost cycles in probability simplex dynamics.

Smooth approximation of integral cycles mod 2 in Riemannian manifolds.

Constructs an explicit cycle in arithmetic group cohomology.

Using Kontsevich's identification of the homology of the Lie algebra l_infty with the cohomology of Out(F_r), Morita defined a sequence of 4k-dimensional classes mu_k in the unstable rational homology of Out(F_{2k+2}). He showed by a computer calculation that the first of these is non-trivial, so coincides with the uni…

Paper introduces economic Carnot cycles in Roegenian economics.

We introduce a notion of vanishing Maslov index for lagrangian varifolds and lagrangian integral cycles in a Calabi-Yau manifold. We construct mass-decreasing flows of lagrangian varifolds and lagrangian cycles which satisfy this condition. The flow of cycles converges, at infinite time, to a sum of special lagrangian …

Approximates cycles in planar and bounded-genus graphs.

Study examines cash conversion cycle in manufacturing firms, finding negative relationships with profitability and size.

By generalizing the measurements on the game experiments of mixed strategy Nash equilibrium, we study the dynamical pattern in a representative dynamic stochastic general equilibrium (DSGE). The DSGE model describes the entanglements of the three variables (output gap [$y$], inflation [$π$] and nominal interest rate [$…

Explicitly constructs efficient cycles in quotient groups.

We present a necessary and sufficient condition for existence of a contractible, non-separating and noncontractible separating Hamiltonian cycle in the edge graph of polyhedral maps on surfaces. In particular, we show the existence of contractible Hamiltonian cycle in equivelar triangulated maps. We also present an alg…

Endogenous business cycles explain higher comovement across countries.

Study Agol cycles in pseudo-Anosov 3-braids.

Study of height jumps in Ceresa cycle using asymptotic Hodge theory.

Smooth approximation of integral cycles in manifolds.

Researchers found a special basis for cycles on a K3 surface.

Dual decomposition provides a tractable framework for designing algorithms for finding the most probable (MAP) configuration in graphical models. However, for many real-world inference problems, the typical decomposition has a large integrality gap, due to frustrated cycles. One way to tighten the relaxation is to intr…

Proves the Weyl law for 1-cycles in manifolds.

The current article studies certain problems related to complex cycles of holomorphic foliations with singularities in the complex plane. We focus on the case when polynomial differential one-form gives rise to a foliation by Riemann surfaces. In this setting, a complex cycle is defined as a nontrivial element of the f…

Generative model predicts menstrual cycle lengths accounting for self-tracking artifacts.

Let $M$ be a closed Riemannian surface of genus $g$. We construct a family of 1-cycles on $M$ that represents a non-trivial element of the k'th homology group of the space of cycles and such that the mass of each cycle is bounded above by $C \max\{\sqrt{k}, \sqrt{g}\} \sqrt{Area(M)}$. This result is optimal up to a mul…

mcanalysis quantifies menstrual cycle effects in health data.

Cycles in causal learning cause feedback loops under intervention.

Special Legendrian Integral Cycles in $S^5$ are the links of the tangent cones to Special Lagrangian integer multiplicity rectifiable currents in Calabi-Yau 3-folds. We show that such Special Legendrian Cycles are smooth except possibly at isolated points.

The paper explores linked cycles in graphs and their properties.

Study finds economic cycle affects bank loan recovery rates.

We present a necessary and sufficient condition for existence of a contractible Hamiltonian Cycle in the edge graph of equivelar maps on surfaces. We also present an algorithm to construct such cycles. This is further generalized and shown to hold for more general maps.

Study finds lower bounds on flat cycles in congruence covers of symmetric spaces.

To a tropical $p$-cycle $V_{\mathbb{T}}$ in $\mathbb{R}^n$, we naturally associate a normal closed and $(p,p)$-dimensional current on $(\mathbb{C}^*)^n$ denoted by $\mathscr{T}_n^p(V_{\mathbb{T}})$. Such a "tropical current" $\mathscr{T}_n^p(V_{\mathbb{T}})$ will not be an integration current along any analytic set, si…

New cycles found in moduli space from quadratic differentials.

Paper introduces Cycles Protocol to integrate trade credit into market clearing.