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Differential Geom., 44, pp. 550-570", "listPosition" : 7, "published" : false, "snippet" : true }, { "otype" : "Reference", "mtid" : 9358105, "link" : "/api/reference/9358105", "label" : "8. Norris, J.R., Path integral formulae for heat kernels and their derivatives (1993) Probab. Theory Related Fields, 94, pp. 525-541", "listPosition" : 8, "published" : false, "snippet" : true }, { "otype" : "Reference", "mtid" : 9358106, "link" : "/api/reference/9358106", "label" : "9. Sheu, S.J., Some estimates of the transition density of a nondegenerate diffusion Markov process (1991) Ann. Probab., 19, pp. 538-561", "listPosition" : 9, "published" : false, "snippet" : true }, { "otype" : "Reference", "mtid" : 9358107, "link" : "/api/reference/9358107", "label" : "10. Stroock, D.W., Turetsky, J., Upper bounds on derivatives of the logarithm of the heat kernel (1998) Comm. Anal. 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