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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.

168,695 papers · 148 categories

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0111 · Oct 202219922001200920172026
5 results for “cocontact”
On Non-autonomous Hamiltonian Dynamics, Dual Spaces, and Kinetic Liftsmath.DG

The paper extends Vlasov kinetic theory to time-dependent dynamics using cosymplectic and cocontact manifolds.

problem Extending Vlasov kinetic theory to time-dependent dynamics.
method Introducing geometric kinetic theories within cosymplectic and cocontact manifolds.
result Alternative realizations of cosymplectic and cocontact kinetic theories linked via Poisson/momentum maps.
Vlasov kinetic theorycosymplectic manifoldscocontact manifoldstime-dependent dynamicsHamiltonian dynamics
2023-08-20abs ↗pdf ↗
A survey on geometric frameworks for action-dependent classical field theories and their relationshipmath-ph

Survey of three geometric frameworks for action-dependent field theories.

problem Understanding action-dependent field theories through geometric structures.
method Introduction and analysis of three geometric frameworks: k-contact, k-cocontact, and multicontact.
result Analysis of relationships among these geometric structures and comparison with other definitions.
geometric frameworksaction-dependent field theoriesk-contactk-cocontactmulticontact
2025-06-13abs ↗pdf ↗
Nonautonomous k-contact field theoriesmath-ph

New geometric framework for non-conservative field theories with time-dependent terms.

problem Describing non-conservative field theories with explicit space-time dependence.
method Combining k-cosymplectic and k-contact formulations to develop Hamiltonian and Lagrangian formalisms.
result Illustrated with the nonlinear damped wave equation, demonstrating the new formalism's applicability.
field theoriesnon-conservativegeometrick-contactk-cosymplectic
2022-10-17abs ↗pdf ↗