DSpace Community: KAIST College of Natural SciencesKAIST College of Natural Scienceshttp://hdl.handle.net/10203/112020-07-18T03:43:55Z2020-07-18T03:43:55Zl-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficientsHamacher, PaulKim, Wansuhttp://hdl.handle.net/10203/2518972019-03-19T02:01:12ZTitle: l-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients
Authors: Hamacher, Paul; Kim, WansuMultifaceted examination of multielectron transfer reactionsSchultz, Franklin A.Lord, Richard L.Baik, Mu-Hyunhttp://hdl.handle.net/10203/2754302020-07-18T00:57:56Z2020-09-01T00:00:00ZTitle: Multifaceted examination of multielectron transfer reactions
Authors: Schultz, Franklin A.; Lord, Richard L.; Baik, Mu-Hyun2020-09-01T00:00:00ZChemotactic traveling waves with compact supportChoi, Sun-HoKim, Yong-Junghttp://hdl.handle.net/10203/2741292020-05-07T06:20:04Z2020-08-01T00:00:00ZTitle: Chemotactic traveling waves with compact support
Authors: Choi, Sun-Ho; Kim, Yong-Jung
Abstract: A logarithmic model type chemotaxis equation is introduced with porous medium diffusion and a population dependent consumption rate. The classical assumption that individual bacterium can sense the chemical gradient is not taken. Instead, the chemotactic term appears by assuming that the migration distance is inversely proportional to the amount of food if food is the reason for migration. The existence and uniqueness of a traveling wave solution of the model are obtained. In particular, solutions have interfaces that divide into constant and non-constant regions. In particular, the profile of the population distribution has compact support. Numerical simulations are provided and compared with analytic results.2020-08-01T00:00:00ZTree decompositions of graphs without large bipartite holesKim, JaehoonKim, YounjinLiu, Honghttp://hdl.handle.net/10203/2754322020-07-15T06:00:12Z2020-08-01T00:00:00ZTitle: Tree decompositions of graphs without large bipartite holes
Authors: Kim, Jaehoon; Kim, Younjin; Liu, Hong
Abstract: A recent result of Condon, Kim, Kuhn, and Osthus implies that for anyr >=(12+o(1))n, ann-vertex almostr-regular graphGhas an approximate decomposition into any collections ofn-vertex bounded degree trees. In this paper, we prove that a similar result holds for an almost alpha n-regular graphGwith any alpha>0 and a collection of bounded degree trees on at most (1-o(1))nvertices ifGdoes not contain large bipartite holes. This result is sharp in the sense that it is necessary to exclude large bipartite holes and we cannot hope for an approximate decomposition inton-vertex trees. Moreover, this implies that for any alpha>0 and ann-vertex almost alpha n-regular graphG, with high probability, the randomly perturbed graphG?G(n,O(1n))has an approximate decomposition into all collections of bounded degree trees of size at most (1-o(1))nsimultaneously. This is the first result considering an approximate decomposition problem in the context of Ramsey-Turan theory and the randomly perturbed graph model.2020-08-01T00:00:00Z