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Daily network digest

Thursday, January 1, 2026

Directed information-flow networks for this session, covering US equities, Cryptocurrency, Foreign exchange. Each class is estimated independently over a trailing one-year window; the tables below rank the assets carrying the most influence within their own network.

Jump to: US equities · Cryptocurrency · Foreign exchange

US equities

PPL was the most central name, carrying 2.82× the influence of an average node across 1494 stocks.

stocks
1494
Density
0.174
Clustering
0.422
Diameter
2

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
PPL 1 0.00189 2.82× 25.5% 19.2% SPG, MSFT, GD, CPRT, MGEE
STN 2 0.00188 2.81× 30.4% 14.6% COR, SCI, MTB, GGG, DUK
FERG 3 0.00180 2.68× 32.9% 14.5% ROL, GWW, WES, GIB, GFL
MS 4 0.00172 2.57× 28.3% 9.8% EPRT, LOPE, SR, T, PWR
CSQ 5 0.00172 2.56× 25.5% 3.3% ESNT, CTAS, OZK, ATR, QLYS
EMR 6 0.00172 2.56× 31.9% 12.9% FERG, FHB, HII, NDSN, CTAS
CTAS 7 0.00171 2.56× 30.1% 15.5% MA, ESS, CARR, UNP, TU
SPGI 8 0.00171 2.56× 26.8% 18.4% LHX, LIN, PTC, FTS, CPRT
CR 9 0.00170 2.55× 27.1% 14.9% MA, MAA, AFL, BNS, POR
FRT 10 0.00167 2.50× 30.3% 13.7% BMO, CL, DLB, MTB, WCN

Rising influence vs 2025-12-31

SymbolPageRank PreviousChange
FDX 0.001130.00097 +0.00016
WPC 0.001190.00107 +0.00011
SCI 0.001390.00130 +0.00009
DOX 0.001190.00111 +0.00008
CHD 0.001340.00126 +0.00008

Falling influence

SymbolPageRank PreviousChange
ESI 0.000100.00093 -0.00083
HGV 0.000820.00103 -0.00021
CHRD 0.000910.00106 -0.00016
INVH 0.001400.00152 -0.00012
EXPD 0.000970.00109 -0.00012

Cryptocurrency

BSXUSD was the most central name, carrying 5.44× the influence of an average node across 379 assets.

assets
379
Density
0.118
Clustering
0.364
Diameter
2

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
BSXUSD 1 0.01435 5.44× 59.5% 12.2% SGBUSD, FLOKIUSD, SUSHIUSD, PAXGUSD, QNTUSD
REQUSD 2 0.01363 5.16× 52.9% 15.6% ELAUSD, AXLUSD, QIUSD, OGNUSD, LINKUSD
SDNUSD 3 0.01253 4.75× 46.3% 15.9% DIMOUSD, PONDUSD, PUNDIXUSD, UNFIUSD, SAMOUSD
REPUSD 4 0.01134 4.30× 49.5% 15.6% L3USD, RAREUSD, RARIEUR, ALEPHUSD, PNKUSD
GARIUSD 5 0.01108 4.20× 52.9% 25.7% INVUSD, ONDOUSD, NYMUSD, GODSUSD, NEARUSD
INVUSD 6 0.01086 4.12× 47.9% 17.2% TUSD, BSXUSD, XTZUSD, SUKUUSD, BTCEUR
ASMUSD 7 0.01055 4.00× 46.6% 7.4% XMRUSD, MDTUSD, BITUSD, GFIUSD, BADGERUSD
LCXUSD 8 0.01054 4.00× 44.4% 10.3% PIRATEUSD, ALEPHUSD, LQTYUSD, TOKEUSD, LSKUSD
PROUSD 9 0.00975 3.70× 46.0% 20.9% HNTUSD, ATOMUSD, PNKUSD, ASMUSD, PYTHUSD
MNGOUSD 10 0.00921 3.49× 42.9% 34.4% EGLDUSD, GLMUSD, TUSD, CGLDUSD, BNCUSD

Rising influence vs 2025-12-31

SymbolPageRank PreviousChange
INVUSD 0.010860.00271 +0.00815
BSXUSD 0.014350.00639 +0.00796
ASMUSD 0.010550.00328 +0.00728
SDNUSD 0.012530.00542 +0.00711
PROUSD 0.009750.00378 +0.00597

Falling influence

SymbolPageRank PreviousChange
CQTUSD 0.003210.01513 -0.01192
KAVAUSD 0.004430.01400 -0.00957
MVUSD 0.003220.01270 -0.00948
DNTUSD 0.002700.00796 -0.00526
LITUSD 0.004440.00951 -0.00507

Foreign exchange

GBPXPF was the most central name, carrying 13.21× the influence of an average node across 863 pairs.

pairs
863
Density
0.048
Clustering
0.355
Diameter

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
GBPXPF 1 0.01531 13.21× 4.6% 8.0% NZDTRY, TWDNZD, TWDCHF, CADKRW, KRWEUR
TWDSEK 2 0.01301 11.22× 5.9% 5.5% KRWBRL, GBPBRL, PENBRL, BRLJPY, TZSZAR
JPYBRL 3 0.01119 9.66× 12.6% 7.2% CADRUB, RUBCAD, USDRUB, BRLUSD, RUBUSD
BRLJPY 4 0.01110 9.58× 12.9% 7.4% CADRUB, RUBCAD, USDRUB, RUBUSD, BRLUSD
PENMXN 5 0.00803 6.93× 21.9% 0.2% GBPXPF, TWDSEK
MYRZAR 6 0.00777 6.71× 21.6% 0.2% GBPXPF, TWDSEK
CNYCAD 7 0.00776 6.70× 21.6% 1.0% BRLSEK, TWDSEK, GBPBRL, KRWBRL, GBPXPF
CNYSGD 8 0.00773 6.67× 23.0% 2.3% DKKPKR, GBPCAD, COPMXN, BRLSEK, GBPXPF
MXNARS 9 0.00752 6.49× 24.5% 1.5% JPYBRL, BRLJPY, GBPXPF, TWDSEK, BRLCHF
ARSMXN 10 0.00749 6.46× 24.7% 1.7% BRLJPY, JPYBRL, GBPXPF, TWDSEK, BRLSEK

Rising influence vs 2025-12-31

SymbolPageRank PreviousChange
TWDSEK 0.013010.00074 +0.01227
JPYBRL 0.011190.00171 +0.00948
BRLJPY 0.011100.00163 +0.00947
GBPXPF 0.015310.00866 +0.00665
MYRZAR 0.007770.00128 +0.00649

Falling influence

SymbolPageRank PreviousChange
EURCRC 0.000470.00804 -0.00757
EURMUR 0.000630.00700 -0.00637
EURRWF 0.000650.00701 -0.00636
EURUZS 0.000320.00601 -0.00568
EURSVC 0.000330.00582 -0.00550

How these numbers are produced

Transfer entropy measures how much knowing one asset's past reduces uncertainty about another's future, beyond what that asset's own past already explains. Unlike correlation it is directional, so an edge from A to B means A's moves carry information about B's next move — not merely that they move together.

Each night we estimate transfer entropy across three universes — roughly 1,500 US common stocks, 350 cryptocurrencies and 550 currency pairs — over a trailing one-year window, conditioning on a broad market series so that shared market-wide movement is discounted rather than counted as a link. Edges surviving the significance filter form that session's directed network, from which the centrality figures on this page are computed. Coverage differs by class: crypto reaches back to January 2024, equities to August 2025, so older digests may cover fewer classes.

PageRank ranks an asset by how much influence flows into it from other influential assets. In-degree and out-degree are the share of the network sending information to it and receiving information from it. Betweenness captures how often an asset sits on the shortest path between two others.

The volatility watch score is a model estimate of the probability that an asset sees elevated volatility in the coming sessions. It is a research output, not a forecast of price direction, and nothing on this page is investment advice.