Yu. Baryshnikov, S. Melczer, R. Pemantle, A. Straub, Diagonal asymptotics for symmetric rational functions via ACSV, 29th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms, Art. No. 12, 15 pp., 2019.
B. J. Zimmerman, I. Abraham, S. A. Schmidt, Yu. Baryshnikov, F. T. Husain, Dissociating tinnitus patients from healthy controls using resting state cyclicity analysis and clustering, Network NeuroScience, 2018.
Yu. Baryshnikov, B. Shapiro, How to Run a Centipede: a Topological Perspective In: Geometric Control Theory and sub-Riemannian Geometry, Springer INdAM Series 5, pp. 37-51, 2014.
Yu. Baryshnikov and R. Ghrist On target enumeration in sensor networks via integration with respect to Euler characteristics, SIAM J. Appl. Math., 70, No. 3, pp. 825-844, 2009. Preprint version
Yu. Baryshnikov and D. Romik Enumeration formulas for Young tableaux in a diagonal strip, Israel J. Math., 178, 1, 157-186, 2010, (arXiv)
Yu. Baryshnikov, J. Borger, W. Lee, and A. Saleh. Modeling Market Dynamics in Competitive Communication Consumer Markets. Bell Labs Technical Journal 13, no. 2, pp193–208, 2008.
Yu. Baryshnikov, P. Eichelsbacher, T. Schreiber and J. Yukich Moderate deviations for some point measures in geometric probability, Annales IHP Probab. Stat., 44, 422-446, 2008.
Yu. Baryshnikov and J. Tan Localization for anchoritic sensor networks, In International Conference on Distributed Computing in Sensor Systems (pp. 82-95). Springer, Berlin, Heidelberg, 2007
Yu. Baryshnikov, Ed Coffman and B. Yimwadsana, On Times to Compute Shapes in 2D Tile Self-assembly, Springer Lecture Notes in Computer Science, 4287, 215-222, 2006.
Yu. Baryshnikov and V. Zharnitsky. Sub-Riemannian geometry and periodic orbits in classical billiards, Mathematical Research Letters 13, no. 4, 587-598, 2006.
Yu. Baryshnikov and J. Yukich. Central limit theorems for random measures in geometric probabilities (Preprint version), Ann. Apl. Prob., 15, 1A, 213-253, 2005.
Yu. Baryshnikov, E. G. Coffman, and P. Momcilovic. DNA-Based Computation Times, Springer Lecture Notes in Computer Science, 3384, 14 – 23, 2005.
Yu. Baryshnikov, P. Heider, W. Parz and V. Zharnitsky Whispering gallery modes inside the asymmetric resonant cavities (Preprint version), Phys. Rev. Letters, 93, 4839-4842, 2004.
Yu. M. Baryshnikov, E. G. Coffman, and P. Jelenkovic. Space filling and depletion (Preprint version), J. App. Prob., 41, 1-12, 2004.
Yu. Baryshnikov, E. G. Coffman, P. Jelenkovic, P. Momcilovoc and D. Rubenstein, Flood search under the California Split rule (Preprint version), Operations Research Letters 32(3):199-206. 2003.
Yu. Baryshnikov and J. Yukich. Gaussian limits and random parking (Preprint version), J. Stat. Physics., 111(1-2):443-463, 2003.
Yu. Baryshnikov and V. Zharnitsky.Billiards and Non-holonomic systems (Preprint version), Zapiski Nauchnyh Seminarov POMI, 300 (Representation Theory, Dynamical Systems. Special Issue. Part 8; editors A. M. Vershik and N. V. Svanidze):56-64, 2003.
Yu. M. Baryshnikov. GUEs and queues, Probab. Theory Related Fields, 119(2):256-274, 2001.
Yu. M. Baryshnikov. On Stokes sets (Preprint version), New developments in singularity theory (Cambridge, 2000): 65-86. Kluwer Acad. Publ., Dordrecht, 2001.
Yu. M. Baryshnikov and A. Gnedin. Counting intervals in the packing process (Preprint version), Ann. Appl. Probab., 11(3):863-877, 2001.
D. Assaf, Yu.M. Baryshnikov, and W. Stadje. Optimal strategies in a risk selection investment model. Adv. in Appl. Probab., 32(2):518-539, 2000.
Yu. M. Baryshnikov. On isotopic dictators and homological manipulators. J. Math. Econom., 33(1):123-134, 2000.
Yu. M. Baryshnikov. Supporting-points processes and some of their applications. Probab. Theory Related Fields, 117(2):163-182, 2000.
Yu. M. Baryshnikov and A. V. Gnedin. Sequential selection of an increasing sequence from a multidimensional random sample. Ann. Appl. Probab., 10(1):258-267, 2000.
Yu. M. Baryshnikov. On small Carnot-Carathéodory spheres (Preprint version), Geom. Funct. Anal., 20(2):259-265, 2000.
Yu. M. Baryshnikov and G. Chichilnisky. Intergenerational choice: a paradox and a solution. In Topology and markets (Waterloo, ON, 1994), pages 99-110.Amer. Math. Soc., Providence, RI, 1999.
Yu. M. Baryshnikov. Wiener soccer and its generalization. Electron. Comm. Probab., 3:1-11 (electronic), 1998.
Yu. M. Baryshnikov and W. Stadje. Asymptotics of damped periodic motions with random initial speed. Math. Nachr., 189:5-21, 1998.
Yu. M. Baryshnikov. Bifurcation diagrams of quadratic differentials. C. R. Acad. Sci. Paris Sér. I Math., 325(1):71-76, 1997.
Yu. M. Baryshnikov. Gaussian samples, regular simplices, and exchangeability. Discrete Comput. Geom., 17(3):257-261, 1997.
Yu. M. Baryshnikov.Topological and discrete social choice: in a search of a theory. Soc. Choice Welf., 14(2):199-209, 1997.
Yu. M. Baryshnikov. How many variants can be optimal? Mat. Model., 8(4):79-88, 1996.
Yu. M. Baryshnikov and E. S. Orlova. Determination of maxima for arbitrary orders. Avtomat. i Telemekh., (1):139-148, 1996.
Yu. M. Baryshnikov. Counting the shape of a drum. Adv. in Appl. Math., 17(1):101-116, 1996.
Yu. M. Baryshnikov, B. Eisenberg, and G. Stengle. A necessary and sufficient condition for the existence of the limiting probability of a tie for first place. Statist. Probab. Lett., 23(3):203-209, 1995.
Yu. M. Baryshnikov. Complexity of trajectories in rectangular billiards. Comm. Math. Phys., 174(1):43-56, 1995.
Yu. M. Baryshnikov and R. Vitale. Regular simplices and Gaussian samples. Discrete Comput. Geom., 11(2):141-147, 1994.
Yu. M. Baryshnikov and Wolfgang Stadje. An inverse problem for trigonometric polynomials: does the distribution of a homogeneous polynomial in a Gaussian random point define the polynomial? Adv. in Appl. Math., 15(3):336-359, 1994.
Yu. M. Baryshnikov and W. Stadje. On sets of integers with prescribed gaps. Monatsh. Math., 116(2):83-98, 1993.
Y. M. Baryshnikov and B. Eisenberg. Independent events and independent experiments. Proc. Amer. Math. Soc., 118(2):615-617, (1993).
Yu. M. Baryshnikov, B. Eisenberg, and W. Stadje. Independent variables with independent sum and difference: case of circle. J. Multivariate Anal., 45(2):161-170, 1993.
Yu. M. Baryshnikov. Unifying impossibility theorems: a topological approach. Adv. in Appl. Math., 14(4):404-415, 1993.
Yu. M. Baryshnikov, V. V. Podinovskiy, and M. V. Polyashuk. Efficiency of decision rules in multicriterial problems of the choice of some best variants. Avtomat. i Telemekh., (12):136-142, 1990.
Yu. M. Baryshnikov. Topology of surgeries of nonsmoothness sets of minimum functions of variational problems. Funktsional. Anal. i Prilozhen., 24(3):62-63, 1990.
Yu. M. Baryshnikov. Real vanishing inflections and boundary singularities. In Theory of singularities and its applications, pages 129-135. Amer. Math. Soc., Providence, RI, 1990.
Yu. M. Baryshnikov. Indices for extremal embeddings of 1-complexes. In Theory of singularities and its applications, 137-144. Amer. Math. Soc., Providence, RI, 1990.
Yu. M. Baryshnikov. A Hamiltonian form of nonholonomic variational problems. Uspekhi Mat. Nauk, 45(1(271)):167-168, 1990.
Yu. M. Baryshnikov. The average number of variants that cannot be dominated in Podinovskiy sense. Avtomat. i Telemekh., (6):161-165, 1990.
Yu. M. Baryshnikov, B. A. Berezovskiy, and A. V. Gnedin. On a class of best-choice problems. Inform. Sci., 39(1):111-127, 1986.
Yu. M. Baryshnikov and B. A. Berezovskiy. Asymptotic equivalence of choice functions. Avtomat. i Telemekh., (10):101-105, 1986.
Yu. M. Baryshnikov. The distribution of the number of nondominating variants. Izv. Akad. Nauk SSSR Tekhn. Kibernet., (3):47-50, 217, 1986.
Yu. M. Baryshnikov. Mathematical expectation of the number of variants that are nondominated with respect to a binary relation. Avtomat. i Telemekh., (6):111-116, 1985.
Yu. M. Baryshnikov, B. A. Berezovskiy, and A. V. Gnedin. The probability of stopping on a nondominated variant. Avtomat. i Telemekh., (10):131-137, 1984.
(chapters in) books
V. I. Arnold, Yu. M. Baryshnikov and I. A. Bogayevsky Supplement 2 in: S. N. Gurbatov, A. N. Malakhov, and A. I. Saichev. Nonlinear random waves and turbulence in nondispersive media: waves, rays, particles. Manchester University Press, Manchester, 1991. Translation edited and with a preface by D. G. Crighton.
B. A. Berezovskiy, Yu. M. Baryshnikov, V. I. Borzenko, and L. M. Kempner. Mnogokriterialnaya optimizatsiya.Nauka, Moscow, 1989.
patents
US Patent 10,959,670 Automated, Objective Method of Assessing Tinnitus Condition
US Patent 8,355,324 Method and apparatus for filtering data packets
US Patent 8,140,261 Locating sensor nodes through correlations