Browsing: Theoretical Probability

[Submitted on 2 Nov 2021 (v1), last revised 21 Mar 2023 (this version, v4)] Download the PDF of the paper…

[Submitted on 22 Jun 2022 (v1), last revised 18 Mar 2023 (this version, v2)] Download a PDF of the paper…

[Submitted on 6 Dec 2021 (v1), last revised 16 Mar 2023 (this version, v3)] Download the PDF of the paper…

The virtual braid group $VB_n$, the virtual twin group $VT_n$ and the virtual triplet group $VL_n$ are extensions of the…

[Submitted on 18 Jul 2022 (v1), last revised 14 Mar 2023 (this version, v3)] Download the PDF of the paper…

[Submitted on 22 Jun 2022 (v1), last revised 15 Mar 2023 (this version, v2)] Download a PDF of the paper…

[Submitted on 29 Jul 2021 (v1), last revised 15 Mar 2023 (this version, v3)] Download the PDF of the paper…

Knots are typically represented and manipulated through diagrams, which are decorated planar graphs. If the tree width of such a…

We develop a new algebraic theory of conjugate classes of positive braids and braids $B_3$. We use our theory to…

We introduce the notion of graphical discreteness to group theory. A finitely generated group is graphically discrete if the automorphism…