19 research outputs found
Foundations of Software Science and Computation Structures
This open access book constitutes the proceedings of the 22nd International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2019, which took place in Prague, Czech Republic, in April 2019, held as part of the European Joint Conference on Theory and Practice of Software, ETAPS 2019. The 29 papers presented in this volume were carefully reviewed and selected from 85 submissions. They deal with foundational research with a clear significance for software science
Programming Languages and Systems
This open access book constitutes the proceedings of the 30th European Symposium on Programming, ESOP 2021, which was held during March 27 until April 1, 2021, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2021. The conference was planned to take place in Luxembourg and changed to an online format due to the COVID-19 pandemic. The 24 papers included in this volume were carefully reviewed and selected from 79 submissions. They deal with fundamental issues in the specification, design, analysis, and implementation of programming languages and systems
Langevin dynamic for the 2D Yang-Mills measure
We define a natural state space and Markov process associated to the
stochastic Yang-Mills heat flow in two dimensions. To accomplish this we first
introduce a space of distributional connections for which holonomies along
sufficiently regular curves (Wilson loop observables) and the action of an
associated group of gauge transformations are both well-defined and satisfy
good continuity properties. The desired state space is obtained as the
corresponding space of orbits under this group action and is shown to be a
Polish space when equipped with a natural Hausdorff metric. To construct the
Markov process we show that the stochastic Yang-Mills heat flow takes values in
our space of connections and use the "DeTurck trick" of introducing a time
dependent gauge transformation to show invariance, in law, of the solution
under gauge transformations. Our main tool for solving for the Yang-Mills heat
flow is the theory of regularity structures and along the way we also develop a
"basis-free" framework for applying the theory of regularity structures in the
context of vector-valued noise - this provides a conceptual framework for
interpreting several previous constructions and we expect this framework to be
of independent interest.Comment: 141 pages. Revised according to referee reports. Added figures in
Section 3. Accepted for publication in Publ. Math. IH\'E
LIPIcs, Volume 261, ICALP 2023, Complete Volume
LIPIcs, Volume 261, ICALP 2023, Complete Volum
New Directions for Contact Integrators
Contact integrators are a family of geometric numerical schemes which
guarantee the conservation of the contact structure. In this work we review the
construction of both the variational and Hamiltonian versions of these methods.
We illustrate some of the advantages of geometric integration in the
dissipative setting by focusing on models inspired by recent studies in
celestial mechanics and cosmology.Comment: To appear as Chapter 24 in GSI 2021, Springer LNCS 1282
Computer Aided Verification
This open access two-volume set LNCS 10980 and 10981 constitutes the refereed proceedings of the 30th International Conference on Computer Aided Verification, CAV 2018, held in Oxford, UK, in July 2018. The 52 full and 13 tool papers presented together with 3 invited papers and 2 tutorials were carefully reviewed and selected from 215 submissions. The papers cover a wide range of topics and techniques, from algorithmic and logical foundations of verification to practical applications in distributed, networked, cyber-physical, and autonomous systems. They are organized in topical sections on model checking, program analysis using polyhedra, synthesis, learning, runtime verification, hybrid and timed systems, tools, probabilistic systems, static analysis, theory and security, SAT, SMT and decisions procedures, concurrency, and CPS, hardware, industrial applications