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.
Automated theorem prover proves non-orderability of groups.
Study the topology of loops of contactomorphisms and Legendrians in non-orderable manifolds.
Algorithm confirms non-order-preserving braids, proving infinite family not order-preserving.
We show that Dehn filling on the manifold results in a non-orderable space for all rational slopes in the interval . This is consistent with the L-space conjecture, which predicts that all fillings will result in a non-orderable space for this manifold.
The classical reduced-form and filtration expansion framework in credit risk is extended to the case of multiple, non-ordered defaults, assuming that conditional densities of the default times exist. Intensities and pricing formulas are derived, revealing how information driven default contagion arises in these models.…
Study callable convertible bonds with liquidity constraints, generalizing previous work.
We show that several torsion free 3-manifold groups are not left-orderable. Our examples are groups of cyclic branched covers of S^3 branched along links. The figure eight knot provides simple nontrivial examples. The groups arising in these examples are known as Fibonacci groups which we show not to be left-orderable.…
The study proves properties of spectral selectors for contact manifolds and applies them to contact big fibers and geodesics.
Framework analyzes neural network dynamics for better understanding and optimization.