Publications (with links to authorized preprints)

  1. Quenched decay of correlation for slowly mixing systems (with W. Bahsoun and M. Ruziboev).   Submitted 2018.   arXiv version
  2. 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
  3. Mixing rates and limit theorems for random intermittent maps (with W. Bahsoun). Nonlinearity, 29 (4), 2016, 1417-1433.   Correction here
  4. First hyperbolic times for intermittent maps with unbounded derivative (with R. Murray).  Dynamical Systems, an International Journal. 29 (3), 2014, 352-368.
  5. 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.
  6. 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.
  7. Decay of correlation for random intermittent maps (with W. Bahsoun and Y. Duan). Nonlinearity, 27 (7) 2014, 1543-1554. 
  8. 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.
  9. Polynomial decay of correlations in the generalized baker's transformation (with R. Murray). Int. J. Bifurcation. Chaos. Vol 23 (8) 2013, 1-17.
  10. 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
  11. Invariant densities and escape rates: rigorous and computable approximations in the L^infinity-norm (with W. Bahsoun). Nonlinear Analysis, 74 (13), 2011, 4481-4494.
  12. Burning issues with PROMETHEUS, Canada’s wildfire growth simulator (with J. Barber et. al.). Canadian Applied Math. Quarterly. 16 (4), 2010, 337-378.
  13. 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.
  14. 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.
  15. 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.
  16. 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
  17. 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.
  18. Bose, C.J., R. Piche, 2004.  Inversion of 2D NMR data. Canadian Applied Math. Quarterly, Vol 12, #1, 67-85.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. Bose, C.J., 1994.  On the existence and approximation of invariant densities for nonsingular transformations on Rd.  J. Approx. Th. 79, #2, 260-270.
  24. 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.
  25. Bose, C.J., 1989.  Invariant measures and equilibrium states for piecewise endomorphisms of the unit interval.  Trans. A.M.S. 315, #1, 105-125.
  26. Bose, C.J., 1989.  Generalized Baker's transformations.  Erg. Thry. and Dynam. Syst, 9, 1-17.