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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,341 papers · 148 categories

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48 results for negative bubble

We introduce the concept of "negative bubbles" as the mirror image of standard financial bubbles, in which positive feedback mechanisms may lead to transient accelerating price falls. To model these negative bubbles, we adapt the Johansen-Ledoit-Sornette (JLS) model of rational expectation bubbles with a hazard rate de…

2010-03-30abs ↗pdf ↗

The study proves manifold properties related to positive scalar curvature.

problem Proving the non-existence of metrics with positive scalar curvature on certain manifolds.
method Use of generalized soap bubbles and prescribed-mean-curvature functionals.
result Proves non-existence of metrics with positive scalar curvature on specific manifolds.

Agent-based model simulates speculative electronic market with price bubbles.

problem Understanding speculative behavior and price bubbles in electronic markets.
method Agent-based model with two types of traders: mean reverting and speculative.
result Speculative traders lead to increased volatility and price deviations from fundamental value.

The paper studies vector bundles over surfaces, focusing on singularity formation.

problem Understanding singularity formation in rank two holomorphic vector bundles over surfaces.
method Defining fertile families bearing bubbles and using elementary modifications to prove their existence.
result Existence of fertile families bearing bubbles for certain types of vector bundles.

Proves effective linear volume growth for 3-manifolds with positive scalar curvature.

problem Volume growth of three-manifolds with positive scalar curvature.
method Utilizes the technique of μ-bubbles and almost-splitting theorem.
result Proves effective linear volume growth for 3-manifolds with non-negative Ricci curvature and uniformly positive scalar curvature.

We define a financial bubble as a period of unsustainable growth, when the price of an asset increases ever more quickly, in a series of accelerating phases of corrections and rebounds. More technically, during a bubble phase, the price follows a faster-than-exponential power law growth process, often accompanied by lo…

2014-04-08abs ↗pdf ↗

Financial markets are well known for their dramatic dynamics and consequences that affect much of the world's population. Consequently, much research has aimed at understanding, identifying and forecasting crashes and rebounds in financial markets. The Johansen-Ledoit-Sornette (JLS) model provides an operational framew…

2011-07-30abs ↗pdf ↗

Standard bubbles and partitions are stable in various model spaces.

problem Stability of standard bubbles and partitions in different model spaces.
method New conjugated Brascamp-Lieb inequality and conformally flattening boundary potential.
result Stability of standard bubbles and partitions in Rn\mathbb{R}^n, Sn\mathbb{S}^n, and Hn\mathbb{H}^n.

In this paper we will prove that for a compact, symplectic manifold (M,ω)(M, ω) and for ωω-compatible almost-complex structure J any properly perturbed J-holomorphic curve has a non-negative symplectic area. This non-negative property provides us with a new obstruction to the bubbling off phenomenon and thus allows us to…

2002-02-07abs ↗pdf ↗

Unified model connects rational and local martingale bubbles to equity risk premium.

problem Connecting two types of financial bubbles and their impact on risk premium.
method Developed a unified modeling framework that includes rational and local martingale bubbles and relates them to equity risk premium.
result Local martingale bubble model includes rational bubble as a special case and relates both to equity risk premium.

The paper solves a problem in metric geometry for disks with negative curvature.

problem Prescribing negative Gaussian curvature on the disk and boundary geodesic curvature.
method Variational approach and refined blow-up analysis for approximated problems.
result Existence of solutions under natural curvature assumptions.

Study on free boundary minimal surfaces, focusing on curvature concentration and geometric convergence.

problem Understanding the limit behavior of free boundary minimal hypersurfaces with curvature concentration.
method Detailed blow-up analysis and quantization identity derivation for total curvature functional.
result Derivation of a constraint relating topology of limit hypersurfaces and their blow-up models.

Study Yang-Mills connections on four-manifolds, derive obstructions to bubbling.

problem Bubbling configurations in Yang-Mills fields on four-manifolds.
method Derived Pohozaev type compatibility between weak limit connection and bubbles, involving Weyl tensor.
result Obstructions to certain bubbling configurations on CP2.

Study uses multidimensional SE-NBD process to analyze default portfolios and identify shock amplification.

problem Analyzing interactions and shock propagation in default portfolios with multiple sectors.
method Applied multidimensional self-exciting negative binomial distribution (SE-NBD) process to 13 sectors.
result Identified upstream and downstream sectors, showing shock amplification in default portfolios.

Existence of double bubbles with high constant mean curvatures in Riemannian manifolds.

problem Existence of double bubbles with high constant mean curvatures in Riemannian manifolds.
method Perturbations of geodesic standard double bubbles centered at critical points of the ambient scalar curvature and aligned along eigen-vectors of the ambient Ricci tensor, with general multiplicity results via Lusternik-Schnirelman theory.
result Existence of double bubbles with high constant mean curvatures in Riemannian manifolds.

Defines speculative bubbles in discrete-time models based on discounted stock price losing mass.

problem Characterizing speculative bubbles in discrete-time models.
method Introduces a new definition based on discounted stock price behavior and provides probabilistic characterizations.
result Speculative bubbles in discrete time are linked to solutions of a linear Volterra integral equation.

Using a recently introduced rational expectation model of bubbles, based on the interplay between stochasticity and positive feedbacks of prices on returns and volatility, we develop a new methodology to test how this model classifies 9 time series that have been previously considered as bubbles ending in crashes. The …

2003-11-05abs ↗pdf ↗

Paper evaluates whether AI is a bubble or a productivity revolution.

problem Determining if AI investments are a bubble or a sustainable technology.
method Hybrid review and diagnostic framework combining asset pricing foundations and modern econometric methods.
result AI investments show both genuine fundamentals and bubble-like fragilities.

Sharp Sobolev inequalities proved on manifolds with non-negative Ricci curvature.

problem Proving sharp Sobolev inequalities on noncompact Riemannian manifolds with non-negative Ricci curvature.
method Using Optimal Mass Transportation with quadratic distance cost.
result Sharp LpL^p-Sobolev and LpL^p-logarithmic Sobolev inequalities established for p>1p>1 and p=1p=1.