{"id":59,"date":"2026-04-15T18:07:16","date_gmt":"2026-04-15T16:07:16","guid":{"rendered":"https:\/\/wp.ull.es\/fcruzzam\/?page_id=59"},"modified":"2026-06-13T21:09:34","modified_gmt":"2026-06-13T19:09:34","slug":"publications","status":"publish","type":"page","link":"https:\/\/wp.ull.es\/fcruzzam\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n

Preprints<\/h3>\n\n\n\n

The Bergman and the growth numbers of domains and hyperbolic geometry<\/strong>
With M. D. Contreras and L. Rodr\u00edguez-Piazza.
Submitted.<\/p>\n\n\n\n

Extremal rate of convergence in discrete hyperbolic and parabolic dynamics<\/strong>
With K. Zarvalis.
Submitted. Preprint available in ArXiv<\/a>.<\/p>\n\n\n\n

On the Hardy number and the Bergman number of a planar domain<\/strong> 
With D. Betsakos.
Submitted. Preprint available in ArXiv<\/a>.<\/p>\n\n\n\n

Articles<\/h3>\n\n\n\n

Extremal rate of convergence in continuous dynamics<\/strong>
With K. Zarvalis.
To appear in J. London Math. Soc<\/em>. Preprint available in ArXiv<\/a>.<\/p>\n\n\n\n

On the rates of convergence of orbits in semigroups of holomorphic functions<\/a><\/strong>
With D. Betsakos and K. Zarvalis.
To appear in Ann. Scuola Norm. Super. Pisa Cl. Sci<\/em>. Preprint available in ArXiv<\/a>.<\/p>\n\n\n\n

A problem on spaces of holomorphic maps and the geometry of image domains<\/a><\/strong>
Concr. Operators<\/em> 13 <\/strong>(2026), Article No. 20250013.<\/p>\n\n\n\n

Examples in Discrete Iteration of Arbitrary Intervals of Slopes<\/a><\/strong>
With M. D. Contreras and L. Rodr\u00edguez-Piazza.
J. Geom. Anal.<\/em> 35<\/strong> (2025), Article No. 99. Preprint available in ArXiv<\/a>.<\/p>\n\n\n\n

Characterization of finite shift via Herglotz’s representation<\/a><\/strong>
J. Math. Anal. Appl.<\/em> 542<\/strong> (2025), Paper No. 128883. Preprint available in ArXiv<\/a>.<\/p>\n\n\n\n

The Slope Problem in Discrete Iteration<\/a><\/strong>
With M. D. Contreras and L. Rodr\u00edguez-Piazza.
Discrete Contin. Dyn. Syst. <\/em>45 <\/strong>(2025), 1928-1947. Preprint available in ArXiv<\/a>.<\/p>\n\n\n\n

On the Hardy number of Koenigs domains<\/a><\/strong>
With M. D. Contreras, M. Kourou and L. Rodr\u00edguez-Piazza.
Anal. Math. Phys.<\/em>\u00a014<\/strong>\u00a0(2024), Article No. 119. Preprint available in\u00a0ArXiv<\/a>.<\/p>\n\n\n\n

Characterization of the hyperbolic step of parabolic functions<\/a><\/strong>
With M. D. Contreras and L. Rodr\u00edguez-Piazza.
Comput. Methods Funct. Theory<\/em> 25<\/strong> (2025), 511-552. Preprint available in ArXiv<\/a>.<\/p>\n\n\n\n

The concept of hierarchy of algebras and graphs<\/a><\/strong>
With A. Del Valle, J. Nu\u00f1ez-Vald\u00e9s and M. Pena.
J. Appl. Math. Comput.<\/em> 67<\/strong> (2021), 233-255.<\/p>\n","protected":false},"excerpt":{"rendered":"

Preprints The Bergman and the growth numbers of domains and hyperbolic geometryWith M. D. Contreras and L. Rodr\u00edguez-Piazza.Submitted. Extremal rate of convergence in discrete hyperbolic and parabolic dynamicsWith K. Zarvalis.Submitted. Preprint available in ArXiv. On the Hardy number and the Bergman number of a planar domain With D. Betsakos.Submitted. Preprint available in ArXiv. Articles Extremal rate of convergence […]<\/p>\n","protected":false},"author":520,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-59","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wp.ull.es\/fcruzzam\/wp-json\/wp\/v2\/pages\/59","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.ull.es\/fcruzzam\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wp.ull.es\/fcruzzam\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wp.ull.es\/fcruzzam\/wp-json\/wp\/v2\/users\/520"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.ull.es\/fcruzzam\/wp-json\/wp\/v2\/comments?post=59"}],"version-history":[{"count":2,"href":"https:\/\/wp.ull.es\/fcruzzam\/wp-json\/wp\/v2\/pages\/59\/revisions"}],"predecessor-version":[{"id":102,"href":"https:\/\/wp.ull.es\/fcruzzam\/wp-json\/wp\/v2\/pages\/59\/revisions\/102"}],"wp:attachment":[{"href":"https:\/\/wp.ull.es\/fcruzzam\/wp-json\/wp\/v2\/media?parent=59"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}