Papers authored by Robert W. Carroll

Professor, Department of Mathematics
University of Illinois at Urbana-Champaign

technical reports = (TR); lecture notes = (LN) (the lecture notes have been or will be incorporated into books or papers); Papers posted on electronic bulletin boards which were not published as such but rather incorporated into subsequent publications are denoted (EB).
  1. (TR) Lift and moment equations for oscillating airfoils in an infinite unstaggered cascade, NACA Technical note 3263, 1954 (with A. Mendelson).
  2. L'équation d'Euler-Poisson-Darboux et les distributions sousharmoniques, Comptes Rendus, Acad. Sci. Paris, 246 (1958), 2560-2562.
  3. (TR) On some generalized Cauchy problems and the convexity of their solutions, AFOSR-TN-59-649, Tech. Note. BN-163, University of Maryland, 1959.
  4. Quelques problèmes de Cauchy singuliers, Comptes Rendus, Acad. Sci. Paris, 251 (1960), 498-500.
  5. Some singular mixed problems, Proc. Nat'l. Acad. Sci., 46 (1960), 1594-1596.
  6. Some singular Cauchy problems, Annali Mat. Pura Appl., 56 (1961), 1-31.
  7. Sur le problème de Cauchy singulier, Comptes Rendus, Acad. Sci. Paris, 252 (1961), 57-59.
  8. Quelques problèmes de Cauchy dégénérés avec des coefficients opérateurs, Comptes Rendus, Acad. Sci. Paris, 253 (1961), 1193-1195.
  9. Quelques problèmes d'opérateurs reliés, Comptes Rendus, Acad. Sci. Paris, 255 (1962), 1371-1373.
  10. Quelques théorèmes d'unicité pour des équations différentielles-opérationnelles, Comptes Rendus, Acad. Sci. Paris, 255 (1962), 2885-2887 (with J. Neuwirth).
  11. On the singular Cauchy problem, Jour. Math. Mech., 12 (1963), 69-102.
  12. Some degenerate Cauchy problems with operator coefficients, Pacific Jour. Math., 13 (1963), 471-485.
  13. Some quasi-linear singular Cauchy problems, Proc. Sympos. Nonlin. Probs., University of Wisconsin Press, 1963, p. 303-306.
  14. Problems in linked operators, I, Math. Annalen, 151 (1963), 272-282.
  15. On some singular quasi-linear Cauchy problems, Math. Zeitschrift, 81 (1963), 135-154.
  16. Sur la definition spectral d'un opérateur de Green, Comptes Rendus, Acad. Sci. Paris, 257 (1963), 1663-1665.
  17. Some uniqueness theorems for differential equations with operator coefficients, Trans. Amer. Math. Soc., 110 (1964), 459-472 (with J. Neuwirth).
  18. (TR) On the Ginsburg-Landau equations, AFOSR-62-46, Tech. Rept. 375, Univ. of Maryland, 1964 (with A. Glick).
  19. On the structure of the Green's operator, Proc. Amer. Math. Soc., 15 (1964), 225-230.
  20. Problèmes d'opérateurs reliés, Comptes Rendus, Acad. Sci. Paris, 259 (1964), 1687-1689.
  21. Some remarks on vector analysis, Math. Zeitschrift, 86 (1964), 1-11 (with T. Butler).
  22. On the Ginsburg-Landau equations, Arch. Rat. Mech. Anal., 16 (1964), 373-384 (with A. Glick).
  23. On the degenerate Cauchy problem, Canad. Jour. Math., 17 (1965), 245-256 (with C. Wang).
  24. Problems in linked operators, II, Math. Annalen, 160 (1965), 233-256.
  25. Some differential problems related to spectral theory in several operators, Rend. Accad. Nax. Lincei, 34 (1965), 170-174.
  26. On the spectral determination of the Green's operator, Jour. Math. Mech., 15 (1966), 1003-1018.
  27. On the structure of some abstract boundary value problems, I, Annali Mat. Pura Appl., 72 (1966), 305-318.
  28. Quelques problèmes différentiels abstraits, Équations aux derivées partielles, Univ. Montréal Press, 1966, 11-46.
  29. On the nature of weak solutions and some abstract Cauchy problems, Bull. Amer. Math. Soc., 72 (1966), 1068-1072.
  30. Some growth and convexity theorems for second order equations, Jour. Math. Anal. Appl., 17 (1967), 508-518.
  31. Some remarks on the propagator equation, Jour. London Math. Soc., 42 (1967), 737-743.
  32. On the propagator equation, Illinois Jour. Math., 11 (1967), 506-527.
  33. On the structure of some abstract differential problems, II, Annali Mat. Pura Appl., 81 (1969), 93-110.
  34. Some variable domain problems in abstract evolution equations, Proc. Conf. Evolution Equations and Nonlinear Semigroups, Univ. Kentucky, 1969, pp 11-24.
  35. Solutions des équations d'évolution abstraites à domaine variable, Comptes Rendus, Acad. Sci. Paris, 270 (1970), 319-321 (with J. Cooper).
  36. Remarks on some variable domain problems in abstract evolution equations, Math. Annalen, 188 (1970), 143-164 (with J. Cooper).
  37. Local forms of invariant differential operators, I, Annali Mat. Pura Appl., 86 (1970), 189-216.
  38. Local forms of invariant differential operators, Rend. Accad. Naz. Lincei, 48 (1970), 292-297.
  39. Solutions faibles des équations d'évolution hypérboliques à  domaine variable, Comptes Rendus, Acad. Sci. Paris, 271 (1970), 931-933 (with E. State).
  40. Solutions of some possibly noncoercive evolution problems with regular data, Applicable Anal., 1 (1972), 381-395 (with T. Mazumdar).
  41. Existence theorems for some weak abstract variable domain hyperbolic problems, Canad. Jour. Math., 23 (1971), 611-626 (with E. State).
  42. Suites canoniques de problèmes de Cauchy singuliers, Comptes Rendus, Acad. Sci. Paris, 273 (1971), 979-981 (with H. Silver).
  43. On some hyperbolic equations with operator coefficients, Proc. Japan Acad., 49 (1973), 233-238.
  44. Growth properties of solutions of certain canonical hyperbolic equations with subharmonic initial data, Proc. Symp. Pure Math., Amer. Math. Soc., Vol. 23, 1973, pp. 97-104 (with H. Silver).
  45. Canonical sequences of singular Cauchy problems, Applicable Anal., 3 (1973), 247-266 (with H. Silver).
  46. Some control problems with differentiably constrained controls, Ricerche Mat., 23 (1974), 151-157.
  47. Some remarks on kernels, recovery formulas, and evolution equations, Rocky Mount. Jour. Math., 5 (1975), 61-74.
  48. On a class of canonical singular Cauchy problems, Proc. Colloq. Anal., Univ. Fed. Rio de Janeiro, 1972, Analyse Fonct. Appl., Act. Sci. Indus. 1367, Hermann, Paris, 1975, pp. 71-90.
  49. Eisenstein integrals and singular Cauchy problems, Proc. Japan Acad. 51 (1975), 691-695.
  50. Singular Cauchy problems in symmetric spaces, Jour. Math. Anal. Appl., 56 (1976), 41-54.
  51. (LN) Algunos resultados sobre ecuaciones diferenciales abstractas relacionadas, Lectures CIMAS, UNAM, Mexico City, 1975, incorporated in 1979 book.
  52. (LN) Lectures on Lie groups and algebras, University of Illinois, 1970, incorporated in 1976 book.
  53. A uniqueness theorem for EPD type equations in general spaces, Applicable Anal., 7 (1977), 15-18.
  54. Some remarks on degenerate Cauchy problems in general spaces, Osaka Jour. Math., 14 (1977), 609-618.
  55. The group theoretic nature of certain recursion relations for singular Cauchy problems, Jour. Math. Anal. Appl., 63 (1978), 156-167.
  56. On some general abstract degenerate Cauchy problems, Anais Acad. Brasil. Ciencias, 49 (1977), 209-211.
  57. Uniqueness theorems for systems of abstract differential equations in general spaces, Applicable Anal., 7 (1978), 147-151.
  58. Systems of abstract differential equations in general spaces, Ricerche Mat., 27 (1978), 215-222.
  59. Transmutation and separation of variables, Applicable Anal., 8 (1979), 253-263.
  60. Some remarks on transmutation, Applicable Anal., 9 (1979), 291-294.
  61. Transmutation, generalized translation, and transform theory, I, Osaka Jour. Math., 19 (1982), 815-831.
  62. Transmutation, generalized translation, and transform theory, II, Osaka Jour. Math., 19 (1982), 833-861.
  63. Remarks on the Gelfand-Levitan and Marchenko equations, Applicable Anal., 12 (1981), 153-157.
  64. Inverse scattering techniques in geophysics, Applicable Anal., 11 (1980), 79-81 (with F. Santosa).
  65. Scattering techniques in transmutation and some connection formulas for special functions, Proc. Japan Acad., 57 (1981), 34-37 (with J. Gilbert).
  66. Remarks on transmutation, scattering theory, and special functions, Math. Annalen, 258 (1981), 39-54 (with J. Gilbert).
  67. The Gelfand-Levitan and Marchenko equations via transmutation, Rocky Mount. Jour. Math., 12 (1982), 393-427.
  68. Scattering techniques for a one dimensional inverse problem in geophysics, Math. Methods Appl. Sci., 3 (1981), 145-171 (with F. Santosa).
  69. Some remarks on the generalized Gelfand-Levitan equation, Jour. Math. Anal. Appl., 92 (1983), 410-426.
  70. Some inversion theorems of Fourier type, Rev. Roumaine Math. Pures Appl., 29 (1984), 113-138.
  71. On the complete recovery of geophysical data, Math. Methods Appl. Sci., 4 (1982), 33-73 (with F. Santosa).
  72. Elliptic transmutation, I, Proc. Royal Soc. Edinburgh, 91A (1982), 315-334.
  73. Some remarks on singular pseudodifferential operators, Comm. Partial Diff. Eqs., 6 (1981), 1407-1427.
  74. A survey of some recent results in transmutation, Spectral Theory Diff. Operators, North-Holland, 1981, pp. 81-92.
  75. Résolution d'un problème inverse qui détermine complètement les données géophysiques, Comptes Rendus Acad. Sci. Paris, 292 (1981), 23-26 (with F. Santosa).
  76. On the characterization of transmutations, Anais Acad. Brasileira Ciencias, 54 (1982), 271-280.
  77. Stability for the one dimensional inverse problem via the Gelfand-Levitan equation, Applicable Anal., 13 (1982), 271-277 (with F. Santosa).
  78. On the canonical development of Parseval formulas for singular differential operators, Rend. Accad. Lincei, 72 (1982), 65-70.
  79. The Bergman-Gilbert operator as a transmutation, Comptes Rendus Royal Soc. Canada, 4 (1982), 267-269.
  80. (TR) Inversion of acoustic impedance from transmitted data, ONR/SRO Tech. Rept. 12, Cornell Univ., 1983 (with F. Santosa).
  81. Some remarks on the Bergman-Gilbert integral operator, Jour. Math. Pures Appl., 63 (1984), 1-14.
  82. Transmutation via the momentum plane, Math. Meth. Appl. Sci., 6 (1984), 467-495.
  83. Partial differential equation techniques in transmutation, Applicable Anal., 17 (1983), 51-62.
  84. Transmutation theory for certain radial operators, Proc. Japan Acad., 59 (1983), 51-54.
  85. On a transform theory involving Whittaker functions, Applicable Anal., 16 (1983), 85-90.
  86. Fourier type analysis and the Marchenko equation, Applicable Anal., 18 (1984), 39-54.
  87. On the connection of differential operators via scattering input, Comptes Rendus Royal Soc. Canada, 5 (1983), 87-90.
  88. Some topics in transmutation, Differential Equations, Math. Studies 92, North-Holland, 1984, pp. 87-104.
  89. Some transmutation methods in geophysics, Conf. Inverse Scattering, SIAM, 1983, pp. 230-244 (with F. Santosa).
  90. Spectral measures and autocorrelation via transmutation, Comptes Rendus Royal Soc. Canada, 5 (1983), 223-228 (with F. Santosa).
  91. Transmutation as a minimizing procedure, Jour. Math. Physics, 25 (1984), 91-93 (with S. Dolzycki).
  92. Impedance profile recovery from transmission data, Jour. Acoustical Soc. America, 76 (1984), 935-941 (with F. Santosa).
  93. Transmutation and linear stochastic estimation, Applicable Anal., 17 (1984), 217-226.
  94. Some transmutation methods for canonical systems, Diff. Equations in Banach spaces, Springer Lect. Notes Math. 1223, 1986, pp. 25-36.
  95. Least squares, transmutation, and the Marchenko equation, Comptes Rendus Royal Soc. Canada, 6 (1984), 85-88.
  96. Generating functions in transmutation theory, Funkcialaj Ekvacioj, 29 (1986), 281-298 (with T. Berkopec).
  97. Transmutation, filtering, and scattering, Proc. Japan Acad., 60 (1984), 82-85.
  98. Some spectral formulas for systems and transmission lines, Applicable Anal., 22 (1986), 21-43.
  99. Patterns and structure in systems governed by linear second order differential equations, Acta Applicandae Math., 6 (1986), 109-184.
  100. Some remarks on orthogonal polynomials and transmutation, Boll. Un. Mat. Ital., 5B (1986), 465-486.
  101. Some remarks on a canonical Marchenko equation, Applicable Anal., 19 (1985), 189-200 (with S. Dolzycki).
  102. Orthogonal polynomials and transmutation, Comptes Rendus Royal Soc. Canada, 7 (1985), 39-43.
  103. The integral equations of inverse scattering theory and the underlying transmutations, Oakland Conf. PDE and Appl. Math., Pitman Press, London, 1987, pp. 1-38.
  104. On some spectral ingredients for the integral equations of scattering theory, Comptes Rendus Royal Soc. Canada, 8 (1986), 155-160.
  105. Transmutation for systems by spectral methods, Applicable Anal., 23 (1986), 185-208 (with S. Dolzycki).
  106. Some inverse problems with spectrally limited data, SIAM Jour. Appl. Math., 48 (1988), 1194-1205 (with L. Raphael).
  107. Some remarks on Newton-Sabatier methods, Math. Methods Appl. Sci., 11 (1989), 43-63 (with G. Delic).
  108. Localization and spectral transform for the half line, Comptes Rendus Royal Soc. Canada, 9 (1987), 237-242.
  109. Some remarks on forced integrable systems, Proc. Howard Univ. Symp., Springer Lect. Notes 1394, 1989, pp. 11-17.
  110. Some features of the maps from potential to spectral data, Applicable Anal., 26 (1987), 61-85.
  111. Remarks on inverse scattering and forced nonlinear systems, Proc. Internat. Conf. Diff. Equations, Ohio Univ. Press, 1989, pp. 134-141.
  112. On the forced nonlinear Schrodinger equation, Japan Jour. Appl. Math., 7 (1990), 321-344.
  113. Some remarks on KP, Inter. Sympos. Memory L.K. Hua, Beijing, Springer- Science Press, 1991, Vol. 2, pp. 39-48.
  114. Inverse scattering and forced nonlinear systems, Nonlinear Evol. Eqs., Integrability, and Spectral Methods, Manchester Univ. Press, 1990, pp. 65-72.
  115. Some remarks on forced KdV, Applicable Anal., 39 (1990), 83-93 (with S. Oharu).
  116. Some forced nonlinear equations and the time evolution of spectral data, Proc. Sixth Sympos. Evol. Eqs., Kyoto, 1988, RIMS Kokyuroku 698 (1989), pp. 94-101.
  117. On the variational determination of GLM kernels, Appliable Anal., 32 (1989), 177-182.
  118. On the ubiquitous Gelfand-Levitan-Marchenko (GLM) equation, Acta Applicandae Math., 18 (1990), 99-144.
  119. Solution of the forced NLS equation using PDE techniques, Applicable Anal., 41 (1991), 35-51 (with Q. Bu).
  120. (TR) Some forced nonlinear equations and the time evolution of spectral data, IMA preprint 479, Univ. of Minnesota, Feb. 1989.
  121. Some connections between inverse scattering and soliton hierarchies, Applicable Anal., 45 (1992), 19-47.
  122. On the determinant theme for tau functions, Grassmannians, and inverse scattering, Contemp. Math., Amer. Math. Soc., Vol. 122, 1991, pp. 23-28.
  123. Some remarks on the Hirota bilinear identity, Proc. NEEDS Workshop, Dubna, 1990, Springer Verlag, 1991, pp. 2-5.
  124. Remarks on symmetries, dressing, and Virasoro action, Applicable Anal., 49 (1993), 1-31.
  125. Symmetries, Sato theory, and tau functions, Applicable Anal., 56 (1995), 147-164.
  126. D bar dressing and Sato theory, Lett. Math. Phys., 28 (1993), 307-319 (with B. Konopelchenko).
  127. On the philosophy of the spectral variable, Proc. First World Cong. Nonlin. Analysts, deGruyter, Berlin, 1996, Vol. 1, pp. 241-252.
  128. On a direct connection of symmetries and Virasoro action, Proc. NEEDS Workshop, Dubna, 1992, World Scientific, 1993, pp. 241-247.
  129. Relations between hierarchies and inverse scattering, Applicable Anal., 55 (1994), 51-59.
  130. Remarks on matrix hierarchies, D bar dressing, and the spectral transform, Applicable Anal., 51 (1993), 1-33 (with A. Folguera).
  131. On canonical coordinates in soliton hierarchies, Teoret. i Matem. Fizika, 99 (1994), 220-225.
  132. Remarks on dispersionless KP, KdV, and 2-D gravity, Jour. Nonlin. Sci., 4 (1994), 519-544.
  133. On relations between vertex operators, quasiclassical operators, and phase space coordinates, hep-th 9411192, Reports on Math. Phys., 37 (1996), 1-21.
  134. On dispersionless Hirota type equations, hep-th 9410063, Proc. NEEDS Workshop, Los Alamos, 1994, World Scientific, 1995, pp. 24-33.
  135. Toward a general theory of transmutation, (with A. Boumenir), funct-an 9501006, Nonlin. Anal., 26 (1996), 1923-1936.
  136. Characterization and solution of the dispersionless Hirota equations (with Y. Kodama), Proc. Conf. Nonlin. Phys., Gallipoli, Italy, July 1995, World Scientific, 1996, pp. 53-59.
  137. Solution of the dispersionless Hirota equations (with Y. Kodama), hep-th 9506007, Jour. Phys. A, 28 (1995), 6373-6387.
  138. Generalized Weierstrass-Enneper inducing, conformal immersions, and gravity (with B. Konopelchenko), hep-th 9506047, Inter. Jour. Mod. Phys. A, 11 (1996), 1183-1216.
  139. Transmutation of operators with disjoint spectra (with A. Boumenir), Applicable Anal., 58 (1995), 303-311.
  140. (LN) On the ubiquitous KdV equation, Lecture notes, 146 pages, incorporated in 2000 book.
  141. (LN)Some aspects of quantum theory and integrable systems, 69 pages, incorporated in 2000 book.
  142. (EB) Remarks on the Whitham equations, solv-int 9511009, 81 pages.
  143. (LN) On the Toda hierarchy and the Whitham equations, Lecture notes, 34 pages, incorporated in 2000 book.
  144. (LN) Integrability and quasiclassical theory, Lecture notes (210 pages), incorporated in 2000 book.
  145. (LN) Riemann surfaces, integrable models, and some related physics, Lecture notes (122 pages), incorporated in 2000 book.
  146. Remarks on Whitham theory and EM duality, solv-int 9606005, Proc. Second World Congress of Nonlinear Analysts, Athens, Greece, June 1996, Nonlinear Anal., 30 (1997), pp. 187-198.
  147. (EB) Some remarks on quantum theory and integrable systems, hep-th 9607219.
  148. (EB) Further remarks on quantum mechanics and integrable systems, hep-th 9610216, 28 pages.
  149. The Whitham equations revisited (with J. Chang), solv-int 9612010, Applicable Analysis, 64 (1997), 343-378.
  150. Some kernels on a Riemann surface, solv-int 9612011, 22 pages, Applicable Anal., 65 (1997), pp. 333-353.
  151. Integrability and the Schrödinger equation, Conference on generalized analytic functions, Graz, Austria, Jan. 6-10, 1997, Generalized Analytic Functions, Kluwer, 1998, pp. 299-311.
  152. WDVV and DZM, solv-int 9703013, Physics Lett. A, 234 (1997), pp. 171-180
  153. (EB) Two kinds of duality, hep-th 9702138, 24 pages.
  154. (X,psi) duality and enhanced dKdV on a Riemann surface, Nucl. Phys. B, 502 (1997), pp. 561-593.
  155. On the Whitham equations and (X,psi) duality, Proc. UIC Conf. Supersymmetry and Integrable Models, June 1997, Springer, Lext. Notes Phys., 502, 1998, pp. 33-56.
  156. Variations on (X,psi) duality, Proc. ISAAC Conference, Univ. Delaware, June 1997, Direct and inverse problems of math. physics, Kluwer, 2000, pp. 39-52.
  157. (EB) Remarks on Whitham and RG, hep-th 9712110, 34 pages.
  158. (EB) Prepotentials and Riemann surfaces, hep-th 9802130, 26 pages.
  159. Remarks on Whitham dynamics, hep-th 9804086, Applicable Anal., 70 (1998), 127-146.
  160. (LN) Remarks on WDVV (65 pages), incorporated in 2000 book.
  161. (LN) Remarks on the Hamilton-Jacobi equation (51 pages); Quantum mechanics and Hamilton-Jacobi (6 pages), incorporated in 2000 book.
  162. Some remarks on time, uncertainty, and spin, quant-ph 9903081, Canad. Jour. Phys., 77 (1999), 319-325.
  163. Various aspects of Whitham times, math-ph 9905010, Acta Applicandae Math., 60 (2000), 225-316.
  164. (LN) Remarks on deformation quantization and integrability (36 pages), incorporated in 2000 book.
  165. On the Whitham equations, Kluwer Encyclopedia of Mathematics, Supplement III, 2002, pp. 434-439 (with A. Bloch).
  166. On the Hirota bilinear identities, Proc. Yerevan workshop, 2002, to appear.
  167. Remarks on quantum transmutation, math.QA 0101072, Complex Variables, 47 (2002), 599-644.
  168. (LN) More on quantum transmutation, incorporated in 2002 book.
  169. Discretization and Moyal brackets, math.QA 0101229, Inter. Jour. Math & Math. Sci., 27 (2001), 583-597.
  170. Discretization, Moyal, and integrability, Inter. Math. Jour., 5 (2004), 537-559 (math.QA 0105227).
  171. Toward quantum transmutation, Progress in Analysis, World Scientific, 2003, pp. 1241-1252.
  172. Star products and integrability, Progress in Analysis, World Scientific, 2003, pp. 837-849.
  173. Remarks on q-calculus and integrability, math.QA 0208170.
  174. Remarks on quantum differential operators, math.QA 0211296.
  175. Discrete geometry and gravity, Proc. ISAAC Conference, Yerevan, 2002, to appear.
  176. Differential calculi, Acoustics, mechanics, and related topics of mathematical analysis, World Scientific, 2002, pp. 78-84.
  177. (LN) On the ubiquitous KdV equation and (X,psi) duality, (81 pages).
  178. Remarks on q-Virasoro and qKdV, math.QA 0301361.
  179. Versions of quantum Kdv, Inter. Jour. Pure and Applied Math., 5 (2003), 177-211.
  180. On q-differential operators, Advances in Analysis, Proc. Fourth International ISAAC Congress, Toronto, August, 2003, pp. 197-209.
  181. Remarks on quantum KdV, Advances in Analysis, Proc. Fourth International ISAAC Congress, Toronto, August, 2003, pp. 355-363.
  182. Hirota formulas and q-hierarchies, Applicable Analysis, 82 (2003), 759-786.
  183. (LN) On the emergence of q, (31 pages).
  184. Aspects of quantum groups and integrable systems, Proc. Conf. Symmetry in Nonlinear Math. Physics, Kiev, June, 2003, Part I, pp. 356-367.
  185. (EB) Toward a canonical qKdV equation, math.QA 0303362.
  186. (LN) Uncertainty, trajectories, and quantum geometry, (62 pages), incorporated in 2006 book.
  187. (LN) Remarks on quantum field theory and tau functions (56 pages), incorporated in 2006 book.
  188. (EB) Uncertainty, trajectories, and duality, quant-ph 0309023.
  189. (LN) Integrable systems, quantum mechanics, and q-theories (59 pages).
  190. (EB) Integrable systems as quantum mechanics, quant-ph 0309159.
  191. (LN) Some aspects of the Schrodinger equation (45 pages), incorporated in 2006 book.
  192. (LN) Quantum theory, diffusion, hydrodynamics, thermodynamics, and fractals (46 pages), incorporated in 2005 book.
  193. Remarks on the Schrodinger equation, quant-ph 0401082, Inter. Jour. Evolution Equations, 1 (2005), 23-56.
  194. (LN) Particles and fields (24 pages), incorporated in 2006 book.
  195. Remarks on a fractal spacetime, in preparation.
  196. On the quantum potential, quant-ph 0403156, Applicable Anal., 84 (2005), 1117-1149.
  197. Diffusion, fractals, and quantum paths, in preparation.
  198. (EB) Gravity and the quantum potential, gr-qc 0406004.
  199. (EB) Fisher, Kaehler, Weyl and the quantum potential, quant-ph 0406203.
  200. Information, quantum mechanics, and gravity, Foundations of Physics, 35 (2005) 131-154.
  201. (LN) Remarks on quantum fluctuations, (46 pages), incorporated in 2006 book.
  202. Fluctuations, gravity, and the quantum potential, gr-qc 0501045, to appear in a volume on quantum gravity, Nova Sci. Publ.
  203. (EB) Some fundamental aspects of a quantum potential, quant-ph 0506075.
  204. (EB) Remarks on photons and the aether, physics 0507027.
  205. Remarks on the quantum potential, Proc. International Sympos., Varna, Bulgaria, 2005, Bulg. Jour. Phys., 33 (s1b), 2006, pp. 698-708.
  206. (LN) Gravity, entropy, and the quantum potential (65 pages), incorporated in 2006 book.
  207. (LN) Remarks on nonlinear Schroedinger equations, incorporated in book #11.
  208. (LN) Bohmian gravity (38 pages), incorporated in book #11.
  209. (EB) Entropy, geometry, and the quantum potential, physics 0511176.
  210. (EB) Remarks on the WDW equation, gr-qc 0512146.
  211. (EB) Remarks on gravity, entropy, and information, physics 0602036.
  212. Metric fluctuations, entropy, and the WDW equation, Proc. Conf. Nonlin. Physics, Gallipoli, Italy, June, 2006, Teor. i Matem. Fizika, 152 (2007), 904-914.
  213. (EB) Remarks on geometry and the quantum potential, math-ph 0701007.
  214. (EB) Some remarks on Ricci flow and the quantum potential, math-ph 0703065, Progress in Physics, 4 (2007), 22-24.
  215. (EB) Remarks on Weyl geometry and quantum mechanics, gr-qc 0705.3921.
  216. (LN) Lagrangian theory, Ricci flow gravity, etc. - worksheets, 87 pages.
  217. (EB) Ricci flow and quantum theory, math-ph 0710.4351, Progress in Physics, 1 (2008), 21-24.
  218. (EB) Remarks on the Friedman equations, math-ph 0712.3251.
  219. Remarks on conformal mass and quantum mass, Progress in Physics, 2 (2008), 89-90.
  220. (EB) More on the quantum potential, math-ph 0807.1320.
  221. (EB) Remarks on Fisher information, math-ph 0807.4158.
  222. (EB) On stability, fluctuations, and quantum mechanics, math-ph 0808.2965.
  223. Aspects of stability and quantum mechanics, Progress in Physics, 2 (2009), 24-28.
  224. Some aspects of the quantum potential, 30 pages, to appear in a book on quantum information by I. Licata.
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Last modified August 5, 2009