@inproceedings(DBLP:conf/cie/Gasperin13, author = "Anthony Gasperin", year = "2013", title = "Topology of Asymptotic Cones and Non-deterministic Polynomial Time Computations", editor = "Paola Bonizzoni and Vasco Brattka and Benedikt L{\"o}we", booktitle = "CiE", series = "Lecture Notes in Computer Science", volume = "7921", publisher = "Springer", pages = "191--199", url = "http://dx.doi.org/10.1007/978-3-642-39053-1_22", ) @article(Gro93, author = "M.~Gromov", year = "1993", title = "Asymptotics invariants of infinite groups", journal = "Geometric Group Theory", volume = "2", pages = "1--295", ) @article(Bir02, author = "E.~Rips J.C.~Birget, A.Yu.~Olshanskii and M.V. Sapir", year = "2002", title = "Isoperimetric function of groups and computational complexity of the word problem", journal = "Annals of Mathematics", volume = "156,2", pages = "476--518", url = "http://dx.doi.org/10.2307/3597196", ) @article(Sap02, author = "J.C.~Birget M.V.~Sapir and E.~Rips", year = "2002", title = "Isoperimetric and Isodiametric Functions of Groups", journal = "Annals of Mathematics", volume = "156", pages = "345--466", url = "http://dx.doi.org/10.2307/3597195", ) @article(DBLP:journals/ijac/Olshanskii07, author = "Alexander~Yu. Olshanskii", year = "2007", title = "Groups with Quadratic-Non-Quadratic Dehn Functions", journal = "IJAC", volume = "17", number = "2", pages = "401--419", url = "http://dx.doi.org/10.1142/S0218196707003688", ) @article(DBLP:journals/ijac/OiSHANSKIIS01, author = "Alexander~Yu. Olshanskii and Mark~V. Sapir", year = "2001", title = "Length and Area Functions on Groups and Quasi-Isometric Higman Embeddings", journal = "IJAC", volume = "11", number = "2", pages = "137--170", url = "http://dx.doi.org/10.1142/S0218196701000401", ) @article(DBLP:journals/ijac/OlshanskiiS07, author = "Alexander~Yu. Olshanskii and Mark~V. Sapir", year = "2007", title = "A Finitely Presented Group with Two Non-Homeomorphic asymptotic Cones", journal = "IJAC", volume = "17", number = "2", pages = "421--426", url = "http://dx.doi.org/10.1142/S021819670700369X", ) @article(Sap05, author = "A.Yu. Olshanskii and M.V. Sapir", year = "2006", title = "Groups with non-simply connected asymptotic cones", journal = "Topology and asymptotic aspects of group theory", volume = "394 of Contemp. Math.", pages = "203--208", url = "http://dx.doi.org/10.1090/conm/394/07445", ) @article(Ols06, author = "A.Yu Olshanskii and M.V. Sapir", year = "2006", title = "Groups with small Dehn functions and bipartite chord diagrams", journal = "Geometric \& Functional Analysis GAFA", volume = "16(6)", pages = "1324--1376", url = "http://dx.doi.org/10.1007/s00039-006-0580-9", ) @article(Pap96, author = "P.~Papasoglu", year = "1996", title = "On The Asymptotic Cones of Groups satisfying a Quadratic Isoperimetric Inequality", journal = "J. Differential Geometry", volume = "44", pages = "789--806", )