S. Avvakumov

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We study conditions under which a finite simplicial complex K can be mapped to R without higher-multiplicity intersections. An almost r-embedding is a map f : K → R such that the images of any r pairwise disjoint simplices of K do not have a common point. We show that if r is not a prime power and d ≥ 2r + 1, then there is a counterexample to the(More)
P. Adamson, C. Andreopoulos, K. E. Arms, R. Armstrong, D. J. Auty, S. Avvakumov, D. S. Ayres, B. Baller, B. Barish, P. D. Barnes, Jr., G. Barr, W. L. Barrett, E. Beall,* B. R. Becker, A. Belias, T. Bergfeld, R. H. Bernstein, D. Bhattacharya, M. Bishai, A. Blake, B. Bock, G. J. Bock, J. Boehm, D. J. Boehnlein, D. Bogert, P. M. Border, C. Bower, E.(More)
P. Adamson, C. Andreopoulos, K. E. Arms, R. Armstrong, D. J. Auty, S. Avvakumov, D. S. Ayres, B. Baller, B. Barish, P. D. Barnes, Jr., G. Barr, W. L. Barrett, E. Beall, B. R. Becker, A. Belias, T. Bergfeld, R. H. Bernstein, D. Bhattacharya, M. Bishai, A. Blake, B. Bock, G. J. Bock, J. Boehm, D. J. Boehnlein, D. Bogert, P. M. Border, C. Bower, E.(More)
VPM (continuation method or homotopy method) may be considered as special development and modification of classical Newton’s method, see [1] [5], [16]. The main idea of VPM admits short formulation: reducing of a given problem to some IVP for ODE. This fundamental principle of mathematical physics is well known, widely used and effective because IVP for ODE(More)
This paper describes the hardware and operations of the Neutrinos at the Main Injector (NuMI) beam at Fermilab. It elaborates on the design considerations for the beam as a whole and for individual elements. The most important design details of individual components are described. Beam monitoring systems and procedures, including the tuning and alignment of(More)
P. Adamson, C. Andreopoulos, K. E. Arms, R. Armstrong, D. J. Auty, S. Avvakumov, D. S. Ayres, B. Baller, B. Barish, P. D. Barnes, Jr., G. Barr, W. L. Barrett, E. Beall,* B. R. Becker, A. Belias, R. H. Bernstein, D. Bhattacharya, M. Bishai, A. Blake, B. Bock, G. J. Bock, J. Boehm, D. J. Boehnlein, D. Bogert, P. M. Border, C. Bower, E. Buckley-Geer, A.(More)
P. Adamson, T. Alexopoulos, W. W. M. Allison, G. J. Alner, K. Anderson, C. Andreopoulos, M. Andrews, R. Andrews, C. Arroyo, S. Avvakumov, D. S. Ayres, B. Baller, B. Barish, M. A. Barker, P. D. Barnes, Jr., G. Barr, W. L. Barrett, E. Beall, B. R. Becker, A. Belias, T. Bergfeld, R. H. Bernstein, D. Bhattacharya, M. Bishai, A. Blake, V. Bocean, B. Bock, G. J.(More)
U. K. Yang, T. Adams, A. Alton, C. G. Arroyo, S. Avvakumov, L. de Barbaro, P. de Barbaro, A. O. Bazarko, R. H. Bernstein, A. Bodek, T. Bolton, J. Brau, D. Buchholz, H. Budd, L. Bugel, J. Conrad, R. B. Drucker, B. T. Fleming, J. A. Formaggio, R. Frey, J. Goldman, M. Goncharov, D. A. Harris, R. A. Johnson, J. H. Kim, B. J. King, T. Kinnel, S. Koutsoliotas, M.(More)