Journal Articles
Bahsoun, W and Galatolo, S (2024)
Linear response due to singularities,
Nonlinearity, 37(7), 075010, ISSN: 0951-7715. DOI:
10.1088/1361-6544/ad4946.
Bahsoun, W and Korepanov, A (2023)
Statistical aspects of mean field coupled intermittent maps,
Ergodic Theory and Dynamical Systems, 44(4), pp.945-957, ISSN: 0143-3857. DOI:
10.1017/etds.2023.53.
Alves, JF,
Bahsoun, W, Ruziboev, M, Varandas, P (2023)
Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system,
Nonlinearity, 36(6), pp.3294-3318, ISSN: 0951-7715. DOI:
10.1088/1361-6544/acd220.
Bahsoun, W, Liverani, C, Sélley, F (2023)
Globally coupled Anosov diffeomorphisms: statistical properties,
Communications in Mathematical Physics, 400(3), pp.1791-1822, ISSN: 0010-3616. DOI:
10.1007/s00220-022-04631-3.
Bahsoun, W and Sélley, F (2022)
Map lattices coupled by collisions: hitting time statistics and collisions per lattice unit,
Annales Henri Poincaré, 23(8), pp.2919-2947, ISSN: 1424-0637. DOI:
10.1007/s00023-022-01164-2.
Alves, JF,
Bahsoun, W, Ruziboev, M (2021)
Almost sure rates of mixing for partially hyperbolic attractors,
Journal of Differential Equations, 311, pp.98-157, ISSN: 0022-0396. DOI:
10.1016/j.jde.2021.12.008.
Bahsoun, W and Liverani, C (2021)
Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations,
Ergodic Theory and Dynamical Systems, 42(8), pp.2431-2467, ISSN: 0143-3857. DOI:
10.1017/etds.2021.52.
Bahsoun, W, Melbourne, I, Ruziboev, M (2020)
Variance continuity for Lorenz flows,
Annales Henri Poincaré, 21, pp.1873-1892, ISSN: 1424-0637. DOI:
10.1007/s00023-020-00913-5.
Bahsoun, W, Ruziboev, M, Saussol, B (2020)
Linear response for random dynamical systems,
Advances in Mathematics, 364, 107011, ISSN: 0001-8708. DOI:
10.1016/j.aim.2020.107011.
Bahsoun, W, Bose, C, Ruziboev, M (2019)
Quenched decay of correlations for slowly mixing systems,
Transactions of the American Mathematical Society, 372(9), pp.6547-6587, ISSN: 0002-9947. DOI:
10.1090/tran/7811.
Bahsoun, W and Ruziboev, M (2018)
On the statistical stability of Lorenz attractors with a $C^{1+\alpha}$ stable foliation,
Ergodic Theory and Dynamical Systems, 39(12), pp.3169-3184, ISSN: 0143-3857. DOI:
10.1017/etds.2018.28.
Bahsoun, W, Galatolo, S, Nisoli, I, Niu, X (2018)
A rigorous computational approach to linear response,
Nonlinearity, 31(3), pp.1073-1109, ISSN: 0951-7715. DOI:
10.1088/1361-6544/aa9a88.
Bahsoun, W and Saussol, B (2016)
Linear response in the intermittent family: differentiation in a weighted C^0-norm,
Discrete and Continuous Dynamical Systems - Series A, 36(12), pp.6657-6668, ISSN: 1078-0947. DOI:
10.3934/dcds.2016089.
Bahsoun, W, Galatolo, S, Nisoli, I, Niu, X (2016)
Rigorous Approximation of Diffusion Coefficients for Expanding Maps,
Journal of Statistical Physics, 163(6), pp.1486-1503, ISSN: 0022-4715. DOI:
10.1007/s10955-016-1523-y.
Bahsoun, W and Bose, C (2016)
Mixing rates and limit theorems for random intermittent maps,
NONLINEARITY, 29(4), pp.1417-1433, ISSN: 0951-7715. DOI:
10.1088/0951-7715/29/4/1417.
Bahsoun, W, Schmeling, J, Vaienti, S (2015)
On transfer operators and maps with random holes,
NONLINEARITY, 28(3), pp.713-727, ISSN: 0951-7715. DOI:
10.1088/0951-7715/28/3/713.
Bahsoun, W, Bose, C, Duan, Y (2015)
Rigorous pointwise approximations for invariant densities of non-uniformly expanding maps,
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 35, pp.1028-1044, ISSN: 0143-3857. DOI:
10.1017/etds.2013.91.
Bahsoun, W, Hu, H, Vaienti, S (2014)
Pseudo-orbits, stationary measures and metastability,
Dynamical Systems, 29(3), pp.322-336, ISSN: 1468-9367. DOI:
10.1080/14689367.2014.890172.
Bahsoun, W, Bose, C, Duan, Y (2014)
Decay of correlation for random intermittent maps,
Nonlinearity, 27(7), pp.1543-1554, ISSN: 0951-7715. DOI:
10.1088/0951-7715/27/7/1543.
Bahsoun, W (2013) Book review of: Quasi-stationary distributions. Markov chains, diffusions and dynamical systems,
SIAM Review, ISSN: 0036-1445.
Bahsoun, W and Vaienti, S (2013)
Escape rates formulae and metastablilty for randomly perturbed maps,
NONLINEARITY, 26(5), pp.1415-1438, ISSN: 0951-7715. DOI:
10.1088/0951-7715/26/5/1415.
Bahsoun, W and Vaienti, S (2012)
Metastability of Certain Intermittent Maps,
Nonlinearity, 25(1), pp.107-124, DOI:
10.1088/0951-7715/25/1/107.
Bahsoun, W and Bose, C (2011)
Invariant densities and escape rates: Rigorous and computable approximations in the L-infinity-norm,
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 74(13), pp.4481-4495, ISSN: 0362-546X. DOI:
10.1016/j.na.2011.04.012.
Bahsoun, W, Evstigneev, IV, Xu, L (2011)
Almost sure Nash equilibrium strategies in evolutionary models of asset markets,
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 73(2), pp.235-250, ISSN: 1432-2994. DOI:
10.1007/s00186-010-0344-z.
Bahsoun, W and Gora, P (2011)
SRB Measures for Certain Markov Processes,
Discrete and Continuous Dynamical Systems. Series A, 30(1), pp.17-37, DOI:
10.3934/dcds.2011.30.17.
Bahsoun, W and Bose, C (2010)
QUASI-INVARIANT MEASURES, ESCAPE RATES AND THE EFFECT OF THE HOLE,
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 27(3), pp.1107-1121, ISSN: 1078-0947. DOI:
10.3934/dcds.2010.27.1107.
Bahsoun, W, Bose, C, Quas, A (2008)
Deterministic representation for position dependent random maps,
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 22(3), pp.529-540, ISSN: 1078-0947.
Bahsoun, W, Evstigneev, IV, Taksar, MI (2008)
Rapid paths in von Neumann-Gale dynamical systems,
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 80(2-3), pp.129-141, ISSN: 1744-2508. DOI:
10.1080/17442500701833526.
Bahsoun, W, Gora, P, Mayoral, S, Morales, M (2007)
Random dynamics and finance: Constructing implied binomial trees from a predetermined stationary density,
APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, 23(3), pp.181-212, ISSN: 1524-1904. DOI:
10.1002/asmb.663.
Bahsoun, W and Gora, P (2006)
Invariant densities for position-dependent random maps on the real line: Existence, approximation and error bounds,
STOCHASTICS AND DYNAMICS, 6(2), pp.155-172, ISSN: 0219-4937. DOI:
10.1142/S0219493706001682.
Bahsoun, W and Gora, P (2006)
Random beta-transformations,
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 16(4), pp.1079-1081, ISSN: 0218-1274. DOI:
10.1142/S0218127406015337.
Bahsoun, W (2006)
Rigorous Numerical Approximation of Escape Rates,
Nonlinearity, 19, pp.2529-2542, DOI:
10.1088/0951-7715/19/11/002.
Gora, P, Boyarsky, A,
Bahsoun, W (2006)
Folding Maps and Functional Equations,
Dynam. Sys.,, 21(2), pp.235-243, DOI:
10.1080/14689360600552993.
Gora, P, Boyarsky, A, Islam, MDS,
Bahsoun, W (2006)
Absolutely continuous invariant measures that cannot be observed experimentally,
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 5(1), pp.84-90, ISSN: 1536-0040. DOI:
10.1137/040606478.
Bahsoun, W and Gora, P (2006)
Invariant Measures for Position Dependent Random Maps of an Interval With Holes,
IJBC, 16(2), pp.437-444, DOI:
10.1142/S0218127406014915.
Bahsoun, W and Gora, P (2005)
Position Dependent Random Maps in One and Higher Dimensions,
Studia Math.,, 166, pp.271-286, DOI:
10.4064/sm166-3-5.
Bahsoun, W, Gora, P, Boyarsky, A (2005)
Markov switching for position dependent random maps with application to forecasting,
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 4(2), pp.391-406, ISSN: 1536-0040. DOI:
10.1137/040604042.
Bahsoun, W, Gora, P, Boyarsky, A (2004)
Small stochastic perturbations of random maps with position dependent probabilities,
STOCHASTIC ANALYSIS AND APPLICATIONS, 22(4), pp.1121-1130, ISSN: 0736-2994. DOI:
10.1081/SAP-120037634.
Bahsoun, W and Gora, P (2004)
Dissipative and Exact Inner Functions,
Complex Var.,, 49(5), pp.331-338, DOI:
10.1080/02781070410001710344.
Thirulogasanthar, K and
Bahsoun, W (2004) Frames Built on Fractal Sets,
J. Geom. Phy.,, 50, pp.79-98.
Thirulogasanthar, K and
Bahsoun, W (2004) Continuous and Discrete Frames on Julia Sets,
J. Geom. Phy.,, 51, pp.183-195.
Bahsoun, W, Gora, P, Boyarsky, A, Ebrahimi, M (2003)
Filtering entropy,
PHYSICA D-NONLINEAR PHENOMENA, 183(3-4), pp.260-272, ISSN: 0167-2789. DOI:
10.1016/S0167-2789(03)00207-0.
Bahsoun, W and Gora, P (2003)
Weakly convex and concave random maps with position dependent probabilities,
STOCHASTIC ANALYSIS AND APPLICATIONS, 21(5), pp.983-994, ISSN: 0736-2994. DOI:
10.1081/SAP-120024700.
Bahsoun, W, Gora, P, Boyarsky, A (2003) Stochastic Perturbations of Position Dependent Random Maps,
Stochastics and Dynamics, 3(4), pp.545-557.
Bahsoun, W (2002) Julia Set and Ergodicity of Meromorphic Functions,
Adv. Stud. in Cont. Math,, 4(2), pp.103-109.