@inbook{7453, abstract = {We illustrate the ingredients of the state-of-the-art of model-based approach for the formal design and verification of cyber-physical systems. To capture the interaction between a discrete controller and its continuously evolving environment, we use the formal models of timed and hybrid automata. We explain the steps of modeling and verification in the tools Uppaal and SpaceEx using a case study based on a dual-chamber implantable pacemaker monitoring a human heart. We show how to design a model as a composition of components, how to construct models at varying levels of detail, how to establish that one model is an abstraction of another, how to specify correctness requirements using temporal logic, and how to verify that a model satisfies a logical requirement.}, author = {Alur, Rajeev and Giacobbe, Mirco and Henzinger, Thomas A and Larsen, Kim G. and Mikučionis, Marius}, booktitle = {Computing and Software Science}, editor = {Steffen, Bernhard and Woeginger, Gerhard}, isbn = {9783319919072}, issn = {0302-9743}, pages = {452--477}, publisher = {Springer Nature}, title = {{Continuous-time models for system design and analysis}}, doi = {10.1007/978-3-319-91908-9_22}, volume = {10000}, year = {2019}, } @article{7550, abstract = {We consider an optimal control problem for an abstract nonlinear dissipative evolution equation. The differential constraint is penalized by augmenting the target functional by a nonnegative global-in-time functional which is null-minimized in the evolution equation is satisfied. Different variational settings are presented, leading to the convergence of the penalization method for gradient flows, noncyclic and semimonotone flows, doubly nonlinear evolutions, and GENERIC systems. }, author = {Portinale, Lorenzo and Stefanelli, Ulisse}, issn = {1343-4373}, journal = {Advances in Mathematical Sciences and Applications}, number = {2}, pages = {425--447}, publisher = {Gakko Tosho}, title = {{Penalization via global functionals of optimal-control problems for dissipative evolution}}, volume = {28}, year = {2019}, } @unpublished{7552, abstract = {There is increasing evidence that protein binding to specific sites along DNA can activate the reading out of genetic information without coming into direct physical contact with the gene. There also is evidence that these distant but interacting sites are embedded in a liquid droplet of proteins which condenses out of the surrounding solution. We argue that droplet-mediated interactions can account for crucial features of gene regulation only if the droplet is poised at a non-generic point in its phase diagram. We explore a minimal model that embodies this idea, show that this model has a natural mechanism for self-tuning, and suggest direct experimental tests. }, author = {Bialek, William and Gregor, Thomas and Tkačik, Gašper}, booktitle = {arXiv:1912.08579}, pages = {5}, publisher = {ArXiv}, title = {{Action at a distance in transcriptional regulation}}, year = {2019}, } @inproceedings{7576, abstract = {We present the results of a friendly competition for formal verification of continuous and hybrid systems with nonlinear continuous dynamics. The friendly competition took place as part of the workshop Applied Verification for Continuous and Hybrid Systems (ARCH) in 2019. In this year, 6 tools Ariadne, CORA, DynIbex, Flow*, Isabelle/HOL, and JuliaReach (in alphabetic order) participated. They are applied to solve reachability analysis problems on four benchmark problems, one of them with hybrid dynamics. We do not rank the tools based on the results, but show the current status and discover the potential advantages of different tools.}, author = {Immler, Fabian and Althoff, Matthias and Benet, Luis and Chapoutot, Alexandre and Chen, Xin and Forets, Marcelo and Geretti, Luca and Kochdumper, Niklas and Sanders, David P. and Schilling, Christian}, booktitle = {EPiC Series in Computing}, issn = {23987340}, location = {Montreal, Canada}, pages = {41--61}, publisher = {EasyChair Publications}, title = {{ARCH-COMP19 Category Report: Continuous and hybrid systems with nonlinear dynamics}}, doi = {10.29007/m75b}, volume = {61}, year = {2019}, } @inproceedings{8175, abstract = {We study edge asymptotics of poissonized Plancherel-type measures on skew Young diagrams (integer partitions). These measures can be seen as generalizations of those studied by Baik--Deift--Johansson and Baik--Rains in resolving Ulam's problem on longest increasing subsequences of random permutations and the last passage percolation (corner growth) discrete versions thereof. Moreover they interpolate between said measures and the uniform measure on partitions. In the new KPZ-like 1/3 exponent edge scaling limit with logarithmic corrections, we find new probability distributions generalizing the classical Tracy--Widom GUE, GOE and GSE distributions from the theory of random matrices.}, author = {Betea, Dan and Bouttier, Jérémie and Nejjar, Peter and Vuletíc, Mirjana}, booktitle = {Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics}, location = {Ljubljana, Slovenia}, publisher = {Formal Power Series and Algebraic Combinatorics}, title = {{New edge asymptotics of skew Young diagrams via free boundaries}}, year = {2019}, }