Publications (with links to authorized preprints)
- Quenched decay of correlation for slowly mixing systems
(with W. Bahsoun and M. Ruziboev). Submitted
2018. arXiv version
- On equivariant block triangularization of matrix cocycles
(with J. Horan and A. Quas). Dynamical Systems, an
International Journal. 33 (2), 2018, 332-347. arXiv version
- Mixing rates and limit theorems for random intermittent maps (with W. Bahsoun). Nonlinearity, 29 (4), 2016, 1417-1433. Correction here
- First
hyperbolic times for intermittent maps with unbounded
derivative (with R. Murray). Dynamical Systems,
an International Journal. 29 (3), 2014, 352-368.
- Numerical approximation of conditionally invariant measures via Maximum Entropy (with R. Murray). A refereed book chapter in: Ergodic Theory, Open Systems and Coherent Structures, Springer Proceedings in Mathematics and Statistics V70. 2014. ISBN 978-1-4939-0419-8.
- Ulam’s method for Lasota Yorke maps with holes (with G. Froyland, C. Gonzalez Tokman and R. Murray). SIAM J. on Applied Dynam. Syst: 13 (2) 2014, 1010-1032.
- Decay
of correlation for random intermittent maps (with W.
Bahsoun and Y. Duan). Nonlinearity, 27 (7) 2014,
1543-1554.
- Rigorous
pointwise approximations for invariant densities of
nonuniformly expanding maps (with W. Bahsoun and Y.
Duan). Erg. Th. Dynam. Syst.. FirstView
September 2014, 1-17.
- Polynomial decay of correlations in the generalized baker's transformation (with R. Murray). Int. J. Bifurcation. Chaos. Vol 23 (8) 2013, 1-17.
- Maximum Entropy Estimates for Risk-Neutral Probability Measures with Non-Strictly-Convex Data (with R. Murray). J. Optimization Thry and Applic., Vol 161 (1), 2013, 285-307. DOI 10.1007/s10957-013-0349-x
- Invariant
densities and escape rates: rigorous and computable
approximations in the L^infinity-norm (with W.
Bahsoun). Nonlinear Analysis, 74 (13), 2011, 4481-4494.
- Burning issues with PROMETHEUS, Canada’s wildfire growth simulator (with J. Barber et. al.). Canadian Applied Math. Quarterly. 16 (4), 2010, 337-378.
- Bahsoun, W., Bose, C.J. 2010. Quasi-invariant measures, escape rates and the effect of the hole. Discrete and Continuous Dynamical Systems-A. Vol 27, (3), 2010, 1107-1121.
- Bahsoun, W., C.J. Bose, A.N. Quas, 2008 Deterministic representation for position dependent random maps. Discrete and Continuous Dynamical Systems. 22 (3), 2008, 529-540.
- Bose, C.J., R. Murray, 2007. Duality and the computation of approximate invariant densities for nonsingular transformations, SIAM J. Opt. 18 (2), 2007. 691-709.
- Bose, C.J., R. Murray, 2006. Dynamical conditions for convergence of a maximum entropy method for Frobenius-Perron operator equations. Applied Math. & Comp., Vol 182, Issue 1, Nov, 2006, 210-212
- Bose, C.J., Murray, R., 2006. Minimum energy approximations of invariant measures for non-singular transformations. Discrete and Continuous Dynamical Systems, Vol 14, #3, 597-615.
- Bose, C.J., R. Piche, 2004. Inversion of 2D NMR data. Canadian Applied Math. Quarterly, Vol 12, #1, 67-85.
- Bose, C.J., V. Maume-Deschamps, B. Schmitt, S. Shin, 2002 Invariant measures for piecewise convex transformations of an interval. Studia Math. Vol 152, #3, 263-297.
- Bose, C.J., R. Murray, 2001. The exact rate of approximation in Ulam's method. Journal of Discrete and Continuous Dynamical Systems, 7, #1, 219-237.
- Bose, C.J., R. Illner, S. Ukai, 1998. On shock wave solutions for discrete velocity models of the Boltzmann equation. Transport Theory and Statistical Physics, 27, #1, 35-66.
- Bose, C.J., P. Grzegorczyk, P., Illner, R., 1994. Asymptotic behavior of one-dimensional discrete-velocity models in a slab. Arch. Rat. Mech. Anal. 127, 337-360.
- Bose, C.J., 1994. On the existence and approximation of invariant densities for nonsingular transformations on Rd. J. Approx. Th. 79, #2, 260-270.
- Bose, C.J., 1993. Mixing examples in the class of piecewise monotone and continuous maps of the unit interval. Israel J. Math. 83, 1291-52.
- Bose, C.J., 1989. Invariant measures and equilibrium states for piecewise endomorphisms of the unit interval. Trans. A.M.S. 315, #1, 105-125.
- Bose, C.J., 1989. Generalized Baker's transformations. Erg. Thry. and Dynam. Syst, 9, 1-17.