Lattice Green's Functions of the Higher-Dimensional Face-Centered Cubic Lattices
Sprache des Vortragstitels:
Englisch
Original Kurzfassung:
We study the lattice Green's functions of the face-centered cubic lattice (fcc) in up to six dimensions. We give computer algebra proofs of results that were conjectured by Guttmann and Broadhurst for the four- and five-dimensional fcc lattices. Additionally we derive a differential equation for the lattice Green's function of the six-dimensional fcc lattice, a result that was not believed to be achievable with current computer hardware.
Sprache der Kurzfassung:
Englisch
Vortragstyp:
Eingeladener Vortrag an anderen Institutionen
Vortragsdatum:
07.11.2011
Vortragsort:
Frankreich
Details zum Vortragsort:
Invited colloquium talk at INRIA Paris-Rocquencourt
Forschungs-