3

Fundamentals of Compositional Rewriting Theory
A foundational theory of compositional categorical rewriting theory is presented, based on a collection of fibration-like properties …
Preprint PDF Cite Slides Video
Tracelet Hopf algebras and decomposition spaces
Tracelets are the intrinsic carriers of causal information in categorical rewriting systems. In this work, we assemble tracelets into a …
Preprint Cite Slides Video
Concurrency Theorems for Non-linear Rewriting Theories
Sesqui-pushout (SqPO) rewriting along non-linear rules and for monic matches is well-known to permit the modeling of fusing and cloning …
Preprint Cite Slides
Explicit formulae for all higher order exponential lacunary generating functions of Hermite polynomials
For a sequence $P=(p_n(x))_{n=0}^{\infty}$ of polynomials $p_n(x)$, we study the $K$-tuple and $L$-shifted exponential lacunary …
Preprint PDF Cite Slides
Combinatorics of chemical reaction systems
We propose a concise stochastic mechanics framework for chemical reaction systems that allows to formulate evolution equations for …
Preprint PDF Cite Slides
The algebras of graph rewriting
The concept of diagrammatic combinatorial Hopf algebras in the form introduced for describing the Heisenberg-Weyl algebra in Blasiak et …
Preprint PDF Cite Slides Video