---
_id: '9537'
abstract:
- lang: eng
text: DNA methylation is an ancient process found in all domains of life. Although
the enzymes that mediate methylation have remained highly conserved, DNA methylation
has been adapted for a variety of uses throughout evolution, including defense
against transposable elements and control of gene expression. Defects in DNA methylation
are linked to human diseases, including cancer. Methylation has been lost several
times in the course of animal and fungal evolution, thus limiting the opportunity
for study in common model organisms. In the past decade, plants have emerged as
a premier model system for genetic dissection of DNA methylation. A recent combination
of plant genetics with powerful genomic approaches has led to a number of exciting
discoveries and promises many more.
article_processing_charge: No
article_type: review
author:
- first_name: Daniel
full_name: ZILBERMAN, Daniel
id: 6973db13-dd5f-11ea-814e-b3e5455e9ed1
last_name: ZILBERMAN
citation:
ama: ZILBERMAN D. The evolving functions of DNA methylation. *Current Opinion
in Plant Biology*. 2008;11(5):554-559. doi:10.1016/j.pbi.2008.07.004
apa: ZILBERMAN, D. (2008). The evolving functions of DNA methylation. *Current
Opinion in Plant Biology*. Elsevier . https://doi.org/10.1016/j.pbi.2008.07.004
chicago: ZILBERMAN, Daniel. “The Evolving Functions of DNA Methylation.” *Current
Opinion in Plant Biology*. Elsevier , 2008. https://doi.org/10.1016/j.pbi.2008.07.004.
ieee: D. ZILBERMAN, “The evolving functions of DNA methylation,” *Current Opinion
in Plant Biology*, vol. 11, no. 5. Elsevier , pp. 554–559, 2008.
ista: ZILBERMAN D. 2008. The evolving functions of DNA methylation. Current Opinion
in Plant Biology. 11(5), 554–559.
mla: ZILBERMAN, Daniel. “The Evolving Functions of DNA Methylation.” *Current
Opinion in Plant Biology*, vol. 11, no. 5, Elsevier , 2008, pp. 554–59, doi:10.1016/j.pbi.2008.07.004.
short: D. ZILBERMAN, Current Opinion in Plant Biology 11 (2008) 554–559.
date_created: 2021-06-08T13:13:37Z
date_published: 2008-10-01T00:00:00Z
date_updated: 2021-06-09T11:44:30Z
doi: 10.1016/j.pbi.2008.07.004
extern: '1'
external_id:
pmid:
- '18774331'
intvolume: ' 11'
issue: '5'
language:
- iso: eng
month: '10'
oa_version: None
page: 554-559
pmid: 1
publication: Current Opinion in Plant Biology
publication_identifier:
issn:
- 1369-5266
publication_status: published
publisher: 'Elsevier '
quality_controlled: '1'
scopus_import: '1'
status: public
title: The evolving functions of DNA methylation
type: journal_article
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
volume: 11
year: '2008'
...
---
_id: '2367'
abstract:
- lang: eng
text: It was recently shown by Hansen that the Wigner-Yanase entropy is, for general
states of quantum systems, not subadditive with respect to decomposition into
two subsystems, although this property is known to hold for pure states. We investigate
the question whether the weaker property of subadditivity for pure states with
respect to decomposition into more than two subsystems holds. This property would
have interesting applications in quantum chemistry. We show, however, that it
does not hold in general, and provide a counterexample.
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Seiringer R. On the failure of subadditivity of the Wigner-Yanase entropy.
*Letters in Mathematical Physics*. 2007;80(3):285-288. doi:10.1007/s11005-007-0159-x
apa: Seiringer, R. (2007). On the failure of subadditivity of the Wigner-Yanase
entropy. *Letters in Mathematical Physics*. Springer. https://doi.org/10.1007/s11005-007-0159-x
chicago: Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase
Entropy.” *Letters in Mathematical Physics*. Springer, 2007. https://doi.org/10.1007/s11005-007-0159-x.
ieee: R. Seiringer, “On the failure of subadditivity of the Wigner-Yanase entropy,”
*Letters in Mathematical Physics*, vol. 80, no. 3. Springer, pp. 285–288,
2007.
ista: Seiringer R. 2007. On the failure of subadditivity of the Wigner-Yanase entropy.
Letters in Mathematical Physics. 80(3), 285–288.
mla: Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.”
*Letters in Mathematical Physics*, vol. 80, no. 3, Springer, 2007, pp. 285–88,
doi:10.1007/s11005-007-0159-x.
short: R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
date_created: 2018-12-11T11:57:15Z
date_published: 2007-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:03Z
day: '01'
doi: 10.1007/s11005-007-0159-x
extern: 1
intvolume: ' 80'
issue: '3'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0704.1435
month: '06'
oa: 1
page: 285 - 288
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4557'
quality_controlled: 0
status: public
title: On the failure of subadditivity of the Wigner-Yanase entropy
type: journal_article
volume: 80
year: '2007'
...
---
_id: '2370'
abstract:
- lang: eng
text: After recalling briefly the connection between spontaneous symmetry breaking
and off-diagonal long-range order for models of magnets a general proof of spontaneous
breaking of gauge symmetry as a consequence of Bose-Einstein condensation is presented.
The proof is based on a rigorous validation of Bogoliubov's c-number substitution
for the k = 0 mode operator α0.
author:
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
citation:
ama: Lieb É, Seiringer R, Yngvason J. Bose-Einstein condensation and spontaneous
symmetry breaking. *Reports on Mathematical Physics*. 2007;59(3):389-399.
doi:10.1016/S0034-4877(07)80074-7
apa: Lieb, É., Seiringer, R., & Yngvason, J. (2007). Bose-Einstein condensation
and spontaneous symmetry breaking. *Reports on Mathematical Physics*. Elsevier.
https://doi.org/10.1016/S0034-4877(07)80074-7
chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bose-Einstein Condensation
and Spontaneous Symmetry Breaking.” *Reports on Mathematical Physics*. Elsevier,
2007. https://doi.org/10.1016/S0034-4877(07)80074-7.
ieee: É. Lieb, R. Seiringer, and J. Yngvason, “Bose-Einstein condensation and spontaneous
symmetry breaking,” *Reports on Mathematical Physics*, vol. 59, no. 3. Elsevier,
pp. 389–399, 2007.
ista: Lieb É, Seiringer R, Yngvason J. 2007. Bose-Einstein condensation and spontaneous
symmetry breaking. Reports on Mathematical Physics. 59(3), 389–399.
mla: Lieb, Élliott, et al. “Bose-Einstein Condensation and Spontaneous Symmetry
Breaking.” *Reports on Mathematical Physics*, vol. 59, no. 3, Elsevier, 2007,
pp. 389–99, doi:10.1016/S0034-4877(07)80074-7.
short: É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007)
389–399.
date_created: 2018-12-11T11:57:16Z
date_published: 2007-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:04Z
day: '01'
doi: 10.1016/S0034-4877(07)80074-7
extern: 1
intvolume: ' 59'
issue: '3'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0610034
month: '06'
oa: 1
page: 389 - 399
publication: Reports on Mathematical Physics
publication_status: published
publisher: Elsevier
publist_id: '4556'
quality_controlled: 0
status: public
title: Bose-Einstein condensation and spontaneous symmetry breaking
type: journal_article
volume: 59
year: '2007'
...
---
_id: '2371'
abstract:
- lang: eng
text: We give a proof of stability of relativistic matter with magnetic fields all
the way up to the critical value of the nuclear charge Zα = 2/π.
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Lieb É, Seiringer R. Stability of relativistic matter with magnetic
fields for nuclear charges up to the critical value. *Communications in Mathematical
Physics*. 2007;275(2):479-489. doi:10.1007/s00220-007-0307-2
apa: Frank, R., Lieb, É., & Seiringer, R. (2007). Stability of relativistic
matter with magnetic fields for nuclear charges up to the critical value. *Communications
in Mathematical Physics*. Springer. https://doi.org/10.1007/s00220-007-0307-2
chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Stability of Relativistic
Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.” *Communications
in Mathematical Physics*. Springer, 2007. https://doi.org/10.1007/s00220-007-0307-2.
ieee: R. Frank, É. Lieb, and R. Seiringer, “Stability of relativistic matter with
magnetic fields for nuclear charges up to the critical value,” *Communications
in Mathematical Physics*, vol. 275, no. 2. Springer, pp. 479–489, 2007.
ista: Frank R, Lieb É, Seiringer R. 2007. Stability of relativistic matter with
magnetic fields for nuclear charges up to the critical value. Communications in
Mathematical Physics. 275(2), 479–489.
mla: Frank, Rupert, et al. “Stability of Relativistic Matter with Magnetic Fields
for Nuclear Charges up to the Critical Value.” *Communications in Mathematical
Physics*, vol. 275, no. 2, Springer, 2007, pp. 479–89, doi:10.1007/s00220-007-0307-2.
short: R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275
(2007) 479–489.
date_created: 2018-12-11T11:57:16Z
date_published: 2007-10-01T00:00:00Z
date_updated: 2021-01-12T06:57:05Z
day: '01'
doi: 10.1007/s00220-007-0307-2
extern: 1
intvolume: ' 275'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0610062
month: '10'
oa: 1
page: 479 - 489
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4555'
quality_controlled: 0
status: public
title: Stability of relativistic matter with magnetic fields for nuclear charges up
to the critical value
type: journal_article
volume: 275
year: '2007'
...
---
_id: '2372'
abstract:
- lang: eng
text: The increasing interest in the Müller density-matrix-functional theory has
led us to a systematic mathematical investigation of its properties. This functional
is similar to the Hartree-Fock (HF) functional, but with a modified exchange term
in which the square of the density matrix γ(x, x′) is replaced by the square of
γ1 2 (x, x′). After an extensive introductory discussion of density-matrix-functional
theory we show, among other things, that this functional is convex (unlike the
HF functional) and that energy minimizing γ 's have unique densities ρ(r), which
is a physically desirable property often absent in HF theory. We show that minimizers
exist if N≤Z, and derive various properties of the minimal energy and the corresponding
minimizers. We also give a precise statement about the equation for the orbitals
of γ, which is more complex than for HF theory. We state some open mathematical
questions about the theory together with conjectured solutions.
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Heinz
full_name: Siedentop, Heinz K
last_name: Siedentop
citation:
ama: Frank R, Lieb É, Seiringer R, Siedentop H. Müller’s exchange-correlation energy
in density-matrix-functional theory. *Physical Review A - Atomic, Molecular,
and Optical Physics*. 2007;76(5). doi:10.1103/PhysRevA.76.052517
apa: Frank, R., Lieb, É., Seiringer, R., & Siedentop, H. (2007). Müller’s exchange-correlation
energy in density-matrix-functional theory. *Physical Review A - Atomic, Molecular,
and Optical Physics*. American Physical Society. https://doi.org/10.1103/PhysRevA.76.052517
chicago: Frank, Rupert, Élliott Lieb, Robert Seiringer, and Heinz Siedentop. “Müller’s
Exchange-Correlation Energy in Density-Matrix-Functional Theory.” *Physical
Review A - Atomic, Molecular, and Optical Physics*. American Physical Society,
2007. https://doi.org/10.1103/PhysRevA.76.052517.
ieee: R. Frank, É. Lieb, R. Seiringer, and H. Siedentop, “Müller’s exchange-correlation
energy in density-matrix-functional theory,” *Physical Review A - Atomic, Molecular,
and Optical Physics*, vol. 76, no. 5. American Physical Society, 2007.
ista: Frank R, Lieb É, Seiringer R, Siedentop H. 2007. Müller’s exchange-correlation
energy in density-matrix-functional theory. Physical Review A - Atomic, Molecular,
and Optical Physics. 76(5).
mla: Frank, Rupert, et al. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional
Theory.” *Physical Review A - Atomic, Molecular, and Optical Physics*, vol.
76, no. 5, American Physical Society, 2007, doi:10.1103/PhysRevA.76.052517.
short: R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic,
Molecular, and Optical Physics 76 (2007).
date_created: 2018-12-11T11:57:17Z
date_published: 2007-11-30T00:00:00Z
date_updated: 2021-01-12T06:57:05Z
day: '30'
doi: 10.1103/PhysRevA.76.052517
extern: 1
intvolume: ' 76'
issue: '5'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0705.1587
month: '11'
oa: 1
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_status: published
publisher: American Physical Society
publist_id: '4554'
quality_controlled: 0
status: public
title: Müller's exchange-correlation energy in density-matrix-functional theory
type: journal_article
volume: 76
year: '2007'
...